Numeracy: maths in your head - lesson starters and enders
Numeracy: maths in your head - lesson starters and enders
Numeracy: maths in your head - lesson starters and enders
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
i > I /<br />
/ C^flfc^^^Cj JJLJ ^^^^^<br />
rters <strong>and</strong> Ender<br />
Essential for numeracy <strong>lesson</strong>s<br />
SMILE<br />
MATHEMATICS<br />
ole class <strong>in</strong>teractive teach<strong>in</strong>g
Maths In Your Head<br />
Maths In Your Head is a collection of whole class activities, usually used as <strong>lesson</strong><br />
<strong>starters</strong> or <strong>enders</strong>, to encourage mental mathematics. Developed by practis<strong>in</strong>g<br />
teachers, these activities are particularly suitable for use with<strong>in</strong> the <strong>lesson</strong> framework<br />
of the National <strong>Numeracy</strong> Strategy. The levels of difficulty can be adapted to address<br />
Key Stages 2 to 4.<br />
Each activity has a brief description. Teachers will need to spend some time<br />
<strong>in</strong>troduc<strong>in</strong>g the basic activity <strong>in</strong> order to familiarise students with it. As students<br />
become more confident, variations can be <strong>in</strong>troduced <strong>and</strong> the level of difficulty<br />
<strong>in</strong>creased.<br />
Photocopiable resource sheets are <strong>in</strong>cluded <strong>and</strong> any equipment required is clearly<br />
<strong>in</strong>dicated.<br />
Some variations are suggested, but there is space on each page for teachers to add<br />
their own variations.<br />
Addition <strong>and</strong> Subtraction 2<br />
Mak<strong>in</strong>g 100 2<br />
Ten Add 3<br />
Mixed number 4<br />
Beat the Clock 4<br />
B<strong>in</strong>go 5<br />
B<strong>in</strong>go, the Hard Way 6<br />
Four Rules Dice 6<br />
Estimat<strong>in</strong>g Game 7<br />
Round the Clock 8<br />
Statistical Dice 9<br />
Today's the Day 10<br />
Percentages, Fractions <strong>and</strong> Decimals 11<br />
Decimal Dice 11<br />
Fraction Dice 12<br />
Hundredth Game 13<br />
Percentage Dice 14<br />
Place Value 15<br />
How many different Scores? 15<br />
Order<strong>in</strong>g 16<br />
What's my Place 17<br />
Types of Number 18<br />
Multiple grid 18<br />
Play Your Cards Right 19<br />
Th<strong>in</strong>k <strong>and</strong> say 20<br />
Resource Sheets 21
Addition <strong>and</strong> Subtraction<br />
Mak<strong>in</strong>g 100<br />
Aim To improve students' facility with speed <strong>in</strong> mental addition.<br />
You will need a dice. Each student needs to make a score sheet.<br />
e.g.<br />
1 0 0<br />
Description The dice is thrown. The students may 'pass' or may write the number <strong>in</strong><br />
any box.<br />
The w<strong>in</strong>ner is the first one to score 100 exactly.<br />
Variations Record the numbers thrown on the dice on a white board. After one<br />
student has made 100 exactly, see if it could have been achieved <strong>in</strong><br />
fewer goes.<br />
Change the target number.<br />
Play four games simultaneously, with a different target number for each.<br />
This gives the option of students plac<strong>in</strong>g the number <strong>in</strong> any of the<br />
boxes.
Ten Add<br />
Aim To develop strategies for mentally add<strong>in</strong>g to 10.<br />
You will need 6 dice.<br />
Description Throw 6 dice. Students must make as many 10's by add<strong>in</strong>g the<br />
numbers on the dice.<br />
e.g.<br />
Dice thrown: 1, 6, 4, 4, 1, 3<br />
Possible to make 5 10's: 6 + 4, 6 + 4, 4 + 4+1+1<br />
6 + 3+1, 6 + 3 + 1<br />
Variation Throw more dice.<br />
F<strong>in</strong>d different totals.<br />
Fix the total as 10 <strong>and</strong> only allow two numbers to be added.<br />
F<strong>in</strong>d fixed products <strong>in</strong>stead of sums.<br />
Give 2 different target numbers.<br />
Use dice with different numbers on.
Mixed number<br />
Beat the Clock<br />
Aim To develop students' facility with mental multiplication <strong>and</strong><br />
division.<br />
You will need sufficient copies of Beat the Clock 1, 2 <strong>and</strong> 3 Resource<br />
Sheets for each student to have the appropriate sheet.<br />
Description This activity is a good <strong>lesson</strong> starter <strong>and</strong> should take no longer than 5<br />
m<strong>in</strong>utes. Each student is given a copy of Beat the Clock 1, 2 or 3<br />
Resource Sheets.<br />
Resource Sheet 1 conta<strong>in</strong>s mixed multiplication up to 12 x 12.<br />
Resource Sheet 2 conta<strong>in</strong>s mixed multiplication <strong>and</strong> division up<br />
to 12 x 12.<br />
Resource Sheet 3 conta<strong>in</strong>s mixed multiplication, division <strong>and</strong> factors.<br />
e.g. 42 = may be answered as 6x7, or 21 x 2, or 84 -f 2 etc.<br />
The teacher tells the students to start <strong>and</strong> times them for three m<strong>in</strong>utes.<br />
Students write the answers to the questions on the sheet as quickly as<br />
possible. As it conta<strong>in</strong>s mixed tables they should be encouraged to<br />
complete the answers that they know <strong>and</strong> then come back to 'work out'<br />
miss<strong>in</strong>g ones. The questions are not arranged <strong>in</strong> order of difficulty<br />
The teacher can record the marks that each student obta<strong>in</strong>s <strong>and</strong><br />
monitor improvement on the same test. When students achieve 38 or<br />
more correct answers they should move on to the next sheet.
B<strong>in</strong>go<br />
Aim To improve students' facility with mental mathematics.<br />
You will need to photocopy the B<strong>in</strong>go A&B Resource Sheets. Teachers<br />
need to cut up the sheet <strong>and</strong> put all the pieces <strong>in</strong> a conta<strong>in</strong>er. A 1 - 100<br />
grid (optional).<br />
Description Each student draws a grid, five columns by three rows.<br />
Students then write down their own choice of fifteen numbers on the<br />
grid <strong>in</strong> <strong>in</strong>k. The first column should conta<strong>in</strong> numbers between 1 - 20,<br />
the second column 21 - 40, ...<br />
The teacher selects <strong>and</strong> reads out one clue. Students put their h<strong>and</strong> up<br />
when they know the answer, confirm the answer, <strong>and</strong> mark off the<br />
number if it appears on their grid.<br />
Teachers can record the answers on a 1 - 100 grid.<br />
Variation The teacher can just call out each question, without students<br />
respond<strong>in</strong>g.<br />
The student who gets the answer correct can make up the next<br />
question.
B<strong>in</strong>go, the Hard Way<br />
Aim To improve students' facility with mental mathematics.<br />
You will need either Number Resource Sheet, photocopied on to card,<br />
or the 0 - 9 cards from SMILE 2226 Number Cards.<br />
Description Each student draws a 5 x 5 grid <strong>and</strong> places the numbers 1 - 25, at<br />
r<strong>and</strong>om, on the grid.<br />
Shuffle the cards <strong>and</strong> turn over the first three cards. These three<br />
numbers are to be used to make a number from 1 - 25.<br />
Each student shades <strong>in</strong> the number on their grid that they have made<br />
<strong>and</strong> writes down the calculation.<br />
1 11 23 21 18<br />
16 2 13 20 10<br />
9 8 3 7 14<br />
25 24 17 4 6<br />
15 2 22 19 5<br />
Variation Students may like to aim for:<br />
• the first row<br />
• the first column<br />
• diagonal<br />
• full house<br />
Four Rules Dice<br />
Aim To improve students' facility with mental mathematics.<br />
You will need 5 dice<br />
Description Each student writes down the numbers 1 - 20 on the left h<strong>and</strong> side of<br />
the page. The five dice are thrown. Each set of 5 numbers can be used<br />
to make just one of the student's numbers, us<strong>in</strong>g any of the operations,<br />
x + <strong>and</strong> - <strong>and</strong> brackets. Cont<strong>in</strong>ue until one student has made all 20<br />
numbers.
Estimat<strong>in</strong>g Game<br />
Aim To develop students' underst<strong>and</strong><strong>in</strong>g of estimation.<br />
Description Divide the class <strong>in</strong>to teams of 3 or 4.<br />
The teacher asks the teams to write down an estimate for the height of<br />
an item <strong>in</strong> the classroom, e.g. a fil<strong>in</strong>g cab<strong>in</strong>et.<br />
Each team's estimate is recorded by the teacher on a white board. The<br />
item is then measured <strong>and</strong> the team with the closest estimate scores 1<br />
po<strong>in</strong>t. The teacher then asks the teams to write down an estimate for<br />
another item, us<strong>in</strong>g the knowledge of the first item's height.<br />
This cont<strong>in</strong>ues with 1 po<strong>in</strong>t be<strong>in</strong>g awarded to the team with the closest<br />
estimate.<br />
Variations Instead of heights of object, try weights.<br />
Use imperial <strong>in</strong>stead of metric units.<br />
Use non-st<strong>and</strong>ard units, i.e. h<strong>and</strong>spans.
Round the Clock<br />
Aim To develop students' facility with <strong>and</strong> underst<strong>and</strong><strong>in</strong>g of number.<br />
You will need 3 dice.<br />
Description Draw the clock face on a white board or on an OHR Divide the class<br />
<strong>in</strong>to two teams. The three dice are rolled together. Us<strong>in</strong>g any operation<br />
<strong>and</strong> the numbers on the dice, make the number 1, followed by the<br />
number 2, then 3 ... <strong>in</strong> consecutive order. Each team must record how<br />
each number was made.<br />
e.g. If team A rolls 1, 2 <strong>and</strong> 4, it can go as far as 10.<br />
1 0) 4 (4) 7 (4 + 2 + 1)<br />
2 (2) 5 (4 + 1) 8 (4x2)<br />
3 (1+2) 6 (4 + 2) 9 (4 x 2) + 1<br />
10 (4+ 1) x2<br />
Then Team B rolls three dice. Teams take it <strong>in</strong> turns to go until one team<br />
reaches 12.<br />
The aim of the game is to go around the clock <strong>in</strong> as few dice rolls as<br />
possible.<br />
Variation This can be played co-operatively as a whole class challenge.<br />
Class discussion such as:<br />
Which is the best dice roll?<br />
Which is the worst?
Statistical Dice<br />
Aim To re<strong>in</strong>force underst<strong>and</strong><strong>in</strong>g of the statistical terms: Mode, Median,<br />
Mean <strong>and</strong> Range.<br />
You will need 3 dice, <strong>and</strong> a pack of play<strong>in</strong>g cards with the Aces, two's<br />
<strong>and</strong> three's removed.<br />
Description One dice is thrown for the code. Here is a suggestion:<br />
1 = Mode 2 = Median 3 = Mean 4 = Range 5 = Mean<br />
6 = Mode<br />
It is important that the four different terms are <strong>in</strong>cluded at least once, but<br />
you could ask the students to decide on the code for numbers 5 <strong>and</strong> 6.<br />
(They are likely to choose mode <strong>and</strong> range if they underst<strong>and</strong> the<br />
concepts.)<br />
A card is chosen from the pack of cards. The number on the card<br />
determ<strong>in</strong>es how many times the dice are thrown.<br />
e.g. A 2 was thrown (median)<br />
A 7 was picked from the pack of cards.<br />
The question is, "What is the median of these 7 numbers?"<br />
The dice is thrown 7 times <strong>and</strong> the scores read out.<br />
Students now have to write down the answer to the question.<br />
Ace's, two's <strong>and</strong> three's are removed from the pack to make the<br />
questions more mean<strong>in</strong>gful. Also 10 is the most likely number (Jacks,<br />
Queens <strong>and</strong> K<strong>in</strong>gs also count as 10) <strong>and</strong> it is relatively easy to f<strong>in</strong>d the<br />
mean of 10 numbers.
Today's the Day<br />
Aim To develop students' underst<strong>and</strong><strong>in</strong>g of <strong>and</strong> facility with number.<br />
Description Write the date <strong>in</strong> the form: 23. 9. 98<br />
Keep<strong>in</strong>g the date digits <strong>in</strong> order <strong>and</strong> us<strong>in</strong>g any operation, or brackets,<br />
make as many numbers as possible.<br />
e.g.<br />
23 + 9 + 98 = 130<br />
23 + 9 + 9 + 8 = 49<br />
2 + 3 + 99 + 8 = 112<br />
2(3 + 9) + (9 - 8) = 25<br />
To create more of a challenge, make the number less than 100.<br />
The whole class's results can then be compiled on a 1 - 100 grid.<br />
The student who f<strong>in</strong>ds a number that no one else has found, can be<br />
asked to show the method used.<br />
Variation Use digits <strong>in</strong> any order <strong>and</strong> record numbers on a 1 - 100 grid.<br />
Students are then asked to try to make those miss<strong>in</strong>g numbers from<br />
the date of the next <strong>maths</strong> <strong>lesson</strong>.
Percentages, Fractions <strong>and</strong> Decimals<br />
Decimal Dice<br />
Aim To develop students' facility with mental multiplication <strong>and</strong><br />
division by 10,100 <strong>and</strong> 1000.<br />
Teachers will need to make up a version of grid below, large enough for<br />
the whole class to see.<br />
Description Divide the whole class <strong>in</strong>to two teams. Team members take it <strong>in</strong> turn to<br />
roll the dice <strong>and</strong> decide whether to multiply or divide the number on the<br />
dice by 10, 100 or 1000 to make one of the numbers on the grid.<br />
1000 0.1 0.001 20 10 0.006 100<br />
0.002 0.06 30 2000 0.01 0.05<br />
0.002<br />
30 4000 40 200 20 0.2 0.6<br />
600 0.06 0.03 6000 500 0.005 4000<br />
0.02 3000 300 0.004 50 0.3 0.001<br />
0.5 0.05 1000 60 500 0.04 0.03<br />
400 0.003 60 0.01 0.4 0.003 5000<br />
That number is then shaded or covered with that team's colour. The<br />
w<strong>in</strong>n<strong>in</strong>g team is the first to make a l<strong>in</strong>e of four.
Fraction Dice<br />
Aim To practise skills of shad<strong>in</strong>g fractions<br />
Each student needs an A5 sheet of pla<strong>in</strong> paper. A dice or sp<strong>in</strong>ner needs<br />
to be marked us<strong>in</strong>g some of these fractions. Alternatively, the Fractions<br />
Resource Sheet can be cut up, the pieces folded <strong>and</strong> put <strong>in</strong> an<br />
envelope to provide a means of r<strong>and</strong>omly select<strong>in</strong>g fractions.<br />
1/16 2/16 3/16 4/16 5/16 8/16<br />
1/8 2/8 3/8 4/8<br />
1/4 1/2<br />
Description Each student folds their paper <strong>in</strong>to sixteenths.<br />
The dice is thrown <strong>and</strong> each student has to shade that fraction on the<br />
sheet. The fraction must make a complete piece.<br />
e.g.<br />
If the dice showed 5/16, it could not be shaded <strong>in</strong> two pieces of 1/16<br />
<strong>and</strong> 4/16.<br />
Variation Fold the sheet <strong>in</strong>to twelfths, or twenty-fourths <strong>and</strong> change the fractions<br />
on the dice.
Hundredth Game<br />
Aim To develop students' underst<strong>and</strong><strong>in</strong>g of <strong>and</strong> facility with decimal<br />
numbers.<br />
You will need one dice <strong>and</strong> sufficient copies of Hundredth Game<br />
Resource Sheet for each student to have a copy of Hundredth Game<br />
Record<strong>in</strong>g Sheet.<br />
Description There are 6 rounds to a game. With<strong>in</strong> a round the dice is thrown four<br />
times for each number.<br />
1st throw This is the target number.<br />
2nd - 4th throw The number on the dice can be used to go <strong>in</strong>to any<br />
box, but once it is placed it cannot be changed.<br />
The game proceeds until all the boxes are filled.<br />
Add up all the Target numbers. Add up all the students' numbers. The<br />
student with the total nearest to their Target Number Total is the w<strong>in</strong>ner.<br />
Variation The students can score po<strong>in</strong>ts accord<strong>in</strong>g to how close each number is.<br />
Less than 0.5 score 10<br />
Between 0.5 <strong>and</strong> less than 1.0 score 5<br />
Between 1.0 <strong>and</strong> less than 1.5 score 3<br />
Between 1.5 <strong>and</strong> less than 2.5 score 1<br />
More than 2.5 score 0
Percentage Dice<br />
Aim To develop students' skills <strong>in</strong> work<strong>in</strong>g out percentages mentally.<br />
You will need a dice.<br />
Description Each student needs to draw a 3 x 5 grid.<br />
PERCENTAGE (x 10) £ Amount<br />
The left h<strong>and</strong> column is used to record the percentages.<br />
The middle column is used to record amounts of money <strong>in</strong> £'s.<br />
A dice is thrown eight times. The number on the dice can be used to<br />
go <strong>in</strong>to any box <strong>in</strong> the first two columns, but once it is placed it cannot<br />
be changed. Once these two columns are filled, the student has to work<br />
out the percentages of the four amounts. The student then adds all four<br />
answers together.<br />
The aim is to get as close to £5 as possible.<br />
PERCENTAGE (x 10) £ Amount<br />
Giv<strong>in</strong>g a total of £3.40<br />
10% £5 0.50<br />
40% £3 1.20<br />
60% £2 1.20<br />
10% £5 0.50<br />
Variation Highest total.<br />
Lowest total.<br />
Different target.<br />
Instead of money, use the numbers on the dice <strong>and</strong> multiply it by 10,<br />
100 ...
Place Value<br />
How many different Scores?<br />
Aim To develop students' underst<strong>and</strong><strong>in</strong>g of place value.<br />
You will need a dice <strong>and</strong> each student needs to make a copy of the<br />
score sheet.<br />
Total<br />
Description The dice is rolled eight times. After each roll, the students choose which<br />
of the top eight boxes to record that number <strong>in</strong>. Once placed the<br />
number cannot be changed. The game proceeds until all the top eight<br />
boxes are filled. The students add up their score. The closest to 120<br />
w<strong>in</strong>s.<br />
A very useful discussion can take place if the teacher records all the<br />
different scores. Some questions to ask are:<br />
How many different scores could there have been with the eight scores<br />
on the dice?<br />
The scores differ by 9. Will this always be true? Why?<br />
Variations Change the target number.<br />
Change from closest to 120 to furthest away.<br />
Use two dice, one for the tens, one for the units.<br />
Change the scor<strong>in</strong>g sheet.<br />
e-g- , , , ,<br />
Total
Order<strong>in</strong>g<br />
Aim To develop an underst<strong>and</strong><strong>in</strong>g of <strong>in</strong>equalities <strong>and</strong> the<br />
notation > <strong>and</strong>
What's my Place<br />
Aim To develop students' underst<strong>and</strong><strong>in</strong>g of place value.<br />
Hundred<br />
(thous<strong>and</strong><br />
You will need a large room <strong>and</strong> sufficient copies of What's my Place<br />
Resource Sheet. Each group of six students will need 1 copy<br />
photocopied on to coloured paper. The teacher will need to make up<br />
1 set of Place Value Cards:<br />
Ten<br />
thous<strong>and</strong><br />
Thous<strong>and</strong> Hundred Ten Unit<br />
Description Put the 6 Place Value Cards <strong>in</strong> a straight l<strong>in</strong>e, at one end of the room.<br />
Divide the class <strong>in</strong>to groups of six. Each group is given one copy of<br />
What's my Place Resource Sheet.<br />
The teachers says, "Take up <strong>your</strong> position accord<strong>in</strong>g to <strong>your</strong> digit '3'."<br />
So the student with 654321 goes to the 'Hundred' label, the student with<br />
the 541263 goes to the 'Unit' label etc. All students by each label should<br />
have the same number.<br />
The students then return to their orig<strong>in</strong>al group <strong>and</strong> the teacher calls out<br />
another digit.<br />
Variation Use numbers written as words.<br />
Change the numbers us<strong>in</strong>g O's.<br />
Increase the labels.
Types of Number<br />
Multiple grid<br />
Aim To develop students' facility with multiples <strong>and</strong> factors.<br />
You will need a dice. Each student will need to make a copy of the<br />
follow<strong>in</strong>g grid.<br />
Score<br />
Score Total<br />
Description A dice is rolled four times. After each roll the number on the dice can be<br />
used to go <strong>in</strong>to any of the four boxes, but once it is placed it cannot be<br />
change. When all four boxes have been filled, this produces four, two<br />
digit numbers, two by rows, <strong>and</strong> two by columns.<br />
Score<br />
Po<strong>in</strong>ts are awarded accord<strong>in</strong>g to the largest factor less than ten.<br />
If the largest factor is a multiple of one, score one.<br />
If the largest factor is a multiple of two, score two.<br />
If the largest factor is a multiple of three, score three etc.<br />
e.g.<br />
Score<br />
Total<br />
35 scores<br />
62 scores<br />
36 scores<br />
52 scores<br />
7<br />
2<br />
9<br />
Total score 22<br />
Variation Change the scor<strong>in</strong>g, so that extra po<strong>in</strong>ts are awarded if the numbers<br />
are:<br />
• square numbers<br />
• prime numbers etc...
Play Your Cards Right<br />
Aim To develop students' underst<strong>and</strong><strong>in</strong>g of different types of numbers.<br />
You will need either Number Resource Sheet, photocopied on to card,<br />
or the 0 - 9 cards from SMILE 2226 Number Cards.<br />
Description The teacher shuffles the cards <strong>and</strong> take out five cards. These cards are<br />
then shown to the class.<br />
Students choose any three digits to create the different types of<br />
numbers which the teacher calls out.<br />
e.g. The five cards were: 2, 6, 1, 5 <strong>and</strong> 9.<br />
The teacher asks questions for a three digit number to make:<br />
• The highest possible even number<br />
• The highest possible odd number<br />
• The smallest possible even number<br />
• The nearest number to 500<br />
• The nearest number to 1000<br />
• The smallest odd number<br />
• The smallest number<br />
• The nearest odd number to 400
Th<strong>in</strong>k <strong>and</strong> say<br />
Aim To revise vocabulary of types of number.<br />
Description Below are 36 statements cover<strong>in</strong>g a range of topics, some open <strong>and</strong><br />
some closed. Choose a question <strong>and</strong> ask a student to f<strong>in</strong>d a number<br />
which matches the statement.<br />
A multiple of eight.<br />
A number less than 46 - 25.<br />
A number greater than 75 + 64.<br />
A square number.<br />
A factor of 24.<br />
A multiple of 7.<br />
A prime number greater than 30.<br />
A square number greater than 30.<br />
A multiple of 9.<br />
A number less than 34 - 21.<br />
3 more than 198.<br />
Double 73.<br />
A multiple of 5.<br />
A number less than 12x8.<br />
A number greater than 97 + 23.<br />
6 more than 27.<br />
A factor of 16.<br />
The sum of this number's digits is 8.<br />
A prime number less than 20.<br />
A square number less than 10.<br />
A number greater than 123 + 67.<br />
The product of this number's digits is 15.<br />
Double 59.<br />
Half of 125.<br />
Double 27.<br />
Half of 75.<br />
Half of 72.<br />
A factor of 40.<br />
The sum of this number's digits is 12.<br />
A prime number between 40 <strong>and</strong> 50.<br />
A square number larger than 60.<br />
A factor of 36.<br />
A number whose two digits are odd.<br />
A number whose two digits are even.<br />
Double 69.
Resource Sheet Section<br />
Beat The Clock 1 - Resource Sheet 22<br />
Beat The Clock 2 - Resource Sheet 23<br />
Beat The Clock 3 - Resource Sheet 24<br />
What's My Place - Resource Sheet 25<br />
B<strong>in</strong>go A - Resource Sheet 26<br />
B<strong>in</strong>go B - Resource Sheet 27<br />
Fraction - Resource Sheet 28<br />
Hundredth Game - Resource Sheet 29<br />
Number - Resource Sheet 30<br />
Order<strong>in</strong>g Game - Resource Sheet 31<br />
Notes 32<br />
21
Name<br />
Question Answer<br />
1. 5x6 —<br />
2. 2x9 —<br />
3. 10x4 —<br />
4. 3x11 —<br />
5. 7x3 —<br />
6. 3x3 —<br />
7. 6x2 —<br />
8. 5x5 —<br />
9. 8x3 —<br />
10. 2x4 —<br />
11. 5x4 —<br />
12. 10x2 —<br />
13. 2x5 —<br />
14. 7x4 —<br />
15. 6x3 —<br />
16. 10x8 —<br />
17. 7x7 —<br />
18. 7x5 —<br />
19. 4x3 —<br />
20. 4x4 —<br />
Question Answer<br />
21. 8x5 —<br />
22. 4x9 =<br />
23. 6x7 =<br />
24. 8x4 —<br />
25. 8x8 —<br />
26. 11x9 =<br />
27. 6x6 —<br />
28. 3x 12 —<br />
29. 6x9 —<br />
30. 10x7 —<br />
31. 9x3 —<br />
32. 12x4 —<br />
33. 11 x 11 —<br />
34. 6x 12 —<br />
35. 10x 10 —<br />
36. 12x11 —<br />
37. 9x9 —<br />
38. 8x9 —<br />
39. 8x6 —<br />
40. 8x7 —
Name<br />
Question Answer<br />
1. 10x6 —<br />
2. 3x5 —<br />
3. 6 + 3 =<br />
4. 6x4 —<br />
5. 30 + 3 =<br />
6. 6x11 —<br />
7. 22-2 =<br />
8. 5x9 —<br />
9. 8x11 =<br />
10. 90-9 —<br />
11. 12x2<br />
12. 10x5 =<br />
13. 8x 12 =<br />
14. 30 + 5 =<br />
15. 11x4 =<br />
16. 10x 12 =<br />
17. 55-5 —<br />
18. 16-2 —<br />
19. 11x7 =<br />
20. 7x7 —<br />
Question Answer<br />
21. 40 + 5 =<br />
22. 9x9 =<br />
23. 110+10 =<br />
24. 8x6 =<br />
25. 63 + 7 =<br />
26. 12x7 =<br />
27. 7x8 —<br />
28. 12 x12 =<br />
29. 6x7 =<br />
30. 70 + 7 —<br />
31. 12x5 =<br />
32. 64 + 8 =<br />
33. 9x6 =<br />
34. 36 + 3 =<br />
35. 36 + 9 =<br />
36. 72 + 12 =<br />
37. 72 + 8 —<br />
38. 8x7<br />
39. 56 + 7 =<br />
40. 108 + 9 =
Name<br />
Question Answer<br />
1. 42 —<br />
2. 27-3 =<br />
3. 7x9 =<br />
4. 36 + 9 =<br />
5. 64 —<br />
6. 10x0 =<br />
7. 12x 12 =<br />
8. 21 —<br />
9. 18-2 =<br />
10. 24-2 =<br />
11. 1 x 11 =<br />
12. 40 —<br />
13. 9x 12 =<br />
14. 6x0 =<br />
15. 45 =<br />
16. 72 —<br />
17. 54 =<br />
18. 99-11 —<br />
19. 108 =<br />
20. 6x6 —<br />
Question Answer<br />
21. 5x5 —<br />
22. 12-4 —<br />
23. 81 =<br />
24. 4x8 =<br />
25. 7x7 —<br />
26. 33 —<br />
27. 132-11 =<br />
28. 8x3 —<br />
29. 6x7 —<br />
30. 48 =<br />
31. 56 =<br />
32. 20-4 =<br />
33. 32-8 =<br />
34. 24 =<br />
35. 0x7 =<br />
36. 3x 10 —<br />
37. 36 —<br />
38. 28 =<br />
39. 12 —<br />
40. 2x7 —
What's My Place - Resource Sheet 25
• 9 times 0<br />
•4 2<br />
-16<br />
• 15 take away 15<br />
• Difference between<br />
60 <strong>and</strong> 5 dozen<br />
• Double 5<br />
•30-3<br />
• 10% of 100<br />
• The square root<br />
of 100<br />
•5x4<br />
•4 2<br />
+ 4<br />
• Half of 40<br />
•A fifth of 100<br />
•5x6<br />
• A third of 90<br />
• Number of days<br />
<strong>in</strong> April<br />
• 5 more than 25<br />
• 5x8<br />
• 50% of 80<br />
• 2 x 20<br />
• Half of 80<br />
• 5 x 10<br />
•50% Of 100<br />
• Double 25<br />
• 20 less than 70<br />
• 10 lots of 6<br />
• 3 lots of 20<br />
•Two thirds of 90<br />
10<br />
• 16 m<strong>in</strong>us 15<br />
• 23 + 23<br />
• 50 take away 49<br />
• 1 2<br />
1<br />
8 plus 3<br />
' A third of 33<br />
1<br />
20 take away 9<br />
•The first two digit<br />
prime number<br />
•40-19<br />
•3x7<br />
• A third of 63<br />
• 4 more than 17<br />
• 3 times 4<br />
• 1 dozen<br />
• Half of 24<br />
12<br />
• The square root<br />
of 144<br />
•2x11<br />
•17 + 5<br />
• Half of 44<br />
• 25 m<strong>in</strong>us 3<br />
22<br />
30 32<br />
50<br />
60<br />
• Number of m<strong>in</strong>utes<br />
<strong>in</strong> an hour<br />
•10 times 7<br />
• 2 lots of 35<br />
• 10 more than 60<br />
• 30 plus 40<br />
• 4 lots of 20<br />
• 10x8<br />
•10 less than 90<br />
80<br />
• Four fifths of 100<br />
•10 times 9<br />
• 2 lots of 45<br />
•10 less than 100<br />
• 90% of 100<br />
90<br />
• 20 plus 21<br />
•82 + 2<br />
• 4 more than 37<br />
• 2 more than 39<br />
• 47 plus 4<br />
• 100-49<br />
•Treble 17<br />
• 30 more than 21<br />
• 57 plus 4<br />
• 100-39<br />
• Number of days <strong>in</strong><br />
June <strong>and</strong> July<br />
•The total of 59<br />
<strong>and</strong> 2<br />
• 40 plus 31<br />
•100-29<br />
• 3 more than 68<br />
•The total of 69<br />
<strong>and</strong> 2<br />
• 100-19<br />
•3 J<br />
• 75 plus 6<br />
•9 2<br />
+ 10<br />
•100-9<br />
• 1 more than 90<br />
•The total of 89<br />
<strong>and</strong> 2<br />
•2x26<br />
• 40 plus 12<br />
42<br />
52<br />
• 2 more than 50<br />
• Number of weeks<br />
<strong>in</strong> a year<br />
>2 x 31<br />
• 40 plus 22<br />
62<br />
« 2 more than 60<br />
> Number of days <strong>in</strong><br />
July <strong>and</strong> August<br />
6x12<br />
9x8<br />
1<br />
6 dozen<br />
1<br />
80 m<strong>in</strong>us 8<br />
•90-8<br />
• Double 41'<br />
82<br />
• 3 more than 79<br />
• 8 less than 90<br />
•4x23<br />
• 90 plus 2<br />
• Double 46<br />
• 100 m<strong>in</strong>us 8<br />
• 2 plus 1<br />
• A third of 9<br />
• 5 take away 2<br />
• A quarter of a<br />
dozen<br />
• 7 plus 6<br />
• Half of 26<br />
• 7 less than 20<br />
13<br />
• Next prime<br />
number after 11<br />
•11 plus 12<br />
• Half of 46<br />
• 30 subtract 7<br />
23<br />
•The next prime<br />
number after 19<br />
•3x11<br />
• Half of 66<br />
• 3 more than 30<br />
• 7 less than 40<br />
•30 plus 13<br />
• Half of 86 "<br />
• 3 more than 40<br />
• 45 m<strong>in</strong>us 2<br />
• 25 plus 28<br />
• 60 m<strong>in</strong>us 7<br />
• 3 more than 50<br />
33<br />
53<br />
•The next prime<br />
number after 47<br />
•Treble 21<br />
•7x9<br />
• 3 more than 60<br />
• 7 less than 70<br />
69 plus 4<br />
Add 23 to 50 _<br />
2 less than 75<br />
73<br />
•The next prime 40 plus 34<br />
number after 71<br />
• 79 plus 4<br />
• 90 m<strong>in</strong>us 6 83 I • Add 33 to 50 .19x7<br />
84<br />
i • 2 less than 85 • 4 more than 80 •<br />
! • The next prime<br />
] number after 79<br />
• 89 plus 4 93 • Add 43 to 50<br />
2 lots of 2<br />
12 + 3<br />
• 40 plus 44 i<br />
• 86 plus 8<br />
• Double 47 94<br />
• 7 less than 100 • 4 more than 90<br />
•3 x 31 • 100 m<strong>in</strong>us 6<br />
2 2<br />
The square root<br />
of 16<br />
2 lots of 7<br />
Half of 28 14<br />
Next even number<br />
after 12<br />
30 take away 16<br />
6 lots of 4<br />
2 dozen<br />
3x8<br />
The mean of 23<br />
<strong>and</strong> 25<br />
34% of 100<br />
Double 17<br />
5 more than 29<br />
40 take away 6<br />
4x11<br />
Double 22<br />
Half of 88<br />
4 more than 40<br />
9 times 6<br />
Double 27<br />
24<br />
54<br />
3 times 3 times 6<br />
60 take away 6<br />
8 times 8<br />
Double 32<br />
8 2<br />
70 take away 6<br />
80 m<strong>in</strong>us 6<br />
Double 37<br />
4 more than 70<br />
64
10% of 50<br />
30-6<br />
A quarter of 20<br />
The third odd<br />
number<br />
15% of 100<br />
3x5<br />
A quarter of 60<br />
20 take away 5<br />
25% of 100<br />
5 2<br />
15<br />
A quarter of 100<br />
A half of 50<br />
35% of 100 %j<br />
7x5 •<br />
5 less than 40<br />
A half of 70<br />
45% of 100<br />
9x5<br />
5 less than 50<br />
A half of 90<br />
55% of 100<br />
11 x5<br />
5 less than 60<br />
25 plus 30<br />
35 plus 30<br />
13x5<br />
5 less than 70<br />
The sum of 61<br />
<strong>and</strong> 4<br />
50 plus 25<br />
3x25<br />
5 more than 70<br />
Three quarters<br />
of 100<br />
50 plus 35<br />
5 x 17<br />
5 more than 80<br />
15 less than 100<br />
50 plus 45 ^1<br />
5x19 M<br />
5 more than 90<br />
5 less than 100<br />
•<br />
2 lots of 8<br />
4 2<br />
20% of 80<br />
Half of 32<br />
13 plus 13<br />
2 x 13<br />
30 take away 4<br />
• 9 plus 8 16 17<br />
•28-11<br />
26<br />
Number of weeks<br />
<strong>in</strong> half a year<br />
Half of 92<br />
20 plus 26<br />
4 less than 50<br />
10 more than 6<br />
8x7 ETj<br />
30 plus 26<br />
4 less than 60<br />
20 more than 6 2<br />
11x6<br />
3 x 22<br />
4 less than 70<br />
Treble 22<br />
80 m<strong>in</strong>us 4 j<br />
2 x 38<br />
66<br />
10 more than 66<br />
10 less than 86<br />
90 m<strong>in</strong>us 4<br />
2x43<br />
10 more than 76<br />
10 less than 96<br />
12x8 £TJ<br />
2 x 48<br />
10 more than 86<br />
100 m<strong>in</strong>us 4<br />
• 2 more than 15<br />
•17% of 100<br />
• 3 3<br />
•9x3<br />
• 30 m<strong>in</strong>us 3<br />
• 5 more than 22<br />
• 40 m<strong>in</strong>us 3<br />
•6 2<br />
+ 1<br />
• Half of 74<br />
27<br />
•The sum of 35<br />
<strong>and</strong> 2<br />
• 50 m<strong>in</strong>us 3 47<br />
• 40 plus 7<br />
• 8 more than 39<br />
• Next prime<br />
number after 43<br />
• 60 m<strong>in</strong>us 3<br />
• 50 plus 7<br />
• 8 more than 49<br />
• Treble 19<br />
• 70 m<strong>in</strong>us 3<br />
• 40 plus 27<br />
• 3 less than 70<br />
1<br />
57<br />
j.<br />
Next prime<br />
number after 61<br />
•15 + 3<br />
3x6<br />
1<br />
7 less than 25<br />
' Double 9<br />
• 2 times 14<br />
• 30 m<strong>in</strong>us 2<br />
• Number,of days<br />
<strong>in</strong> 4 weeks<br />
• The product of<br />
7 <strong>and</strong> 4<br />
•2 times 19 ^<br />
• 40 m<strong>in</strong>us 2 H<br />
• 12 less than 50<br />
• 3 more than 35<br />
4x12<br />
• 50 m<strong>in</strong>us 2<br />
8x6<br />
1<br />
3 more than 45<br />
30 plus 28<br />
1<br />
60 m<strong>in</strong>us 2<br />
Double 29<br />
1<br />
3 more than 55<br />
'2x34<br />
• 70 m<strong>in</strong>us 2<br />
' 8 more than 60<br />
•4 x 17<br />
• 13 plus 6 18 19<br />
•38-2<br />
28<br />
58<br />
•3 2<br />
+ 10<br />
• One less than 20<br />
• Add 8 to 21<br />
• 30 m<strong>in</strong>us 1<br />
• 21 less than 50<br />
•5 2<br />
+ 4<br />
• 25 plus 24<br />
• 50 m<strong>in</strong>us 1 B<br />
• 11 less than 60<br />
•7 2<br />
• 55 plus 4<br />
• 60 m<strong>in</strong>us 1 •<br />
• The sum of 49<br />
<strong>and</strong> 10<br />
• 9 more than 50<br />
29<br />
3x23 68 69<br />
70 m<strong>in</strong>us 1<br />
11 less than 80<br />
• The difference<br />
between 100 <strong>and</strong> 31<br />
f/H •7x -7x11 11 wjjri -Treble •Treble 26 wl»i . 75 plus 4 f7«j<br />
toWMU 50 • plus 50 plus 27 27 HHl 80 ' m<strong>in</strong>us 80 m<strong>in</strong>us 2 2 • 80 m<strong>in</strong>us 1 • • •<br />
3 less than 80<br />
85 subtract 8<br />
m • Treble 29<br />
8X11<br />
• 50 plus 37<br />
• 3 less than 90<br />
• 95 subtract 8<br />
• 44 add 53<br />
• 95 plus 2<br />
• 3 less than 100<br />
• The largest two<br />
digit prime number<br />
i<br />
1<br />
1<br />
8 more than 70<br />
Double 40 then<br />
m<strong>in</strong>us 2<br />
1<br />
90 m<strong>in</strong>us 2 Hi<br />
1<br />
8 more than 80<br />
Double 44<br />
50 add 48 [jl<br />
100 m<strong>in</strong>us 2 Ml<br />
1<br />
8 more than 90<br />
1<br />
Double 49<br />
• 11 less than 90<br />
• The difference<br />
between 100 <strong>and</strong> 21<br />
• 85 plus 4 ^jTjl<br />
• 90 m<strong>in</strong>us 1 fe^Ml<br />
• 9 more than 80<br />
• The difference<br />
between 100 <strong>and</strong> 11<br />
•3x33<br />
• 9x11 to<br />
• 9 more than 90<br />
»The difference<br />
between 100 <strong>and</strong> 1
1 I 2 I 3 \ 4<br />
16 16 16 16<br />
5 8 1 2<br />
16 16 8 8<br />
3 4 1 1<br />
8 8 4 2<br />
1 2 3 4<br />
16 | 16 16 16
Hundredth Game - Resource Sheet 29<br />
Hundreth Game Record<strong>in</strong>g Sheet Hundreth Game Record<strong>in</strong>g Sheet<br />
Target number<br />
(1st throw)<br />
Number<br />
(2nd - 4th throw)<br />
Total<br />
Score<br />
Hundreth Game Record<strong>in</strong>g Sheet<br />
Target number<br />
(1st throw)<br />
Number<br />
(2nd - 4th throw)<br />
Total<br />
Score<br />
Hundreth Game Record<strong>in</strong>g Sheet<br />
Target number<br />
(1st throw)<br />
Number<br />
(2nd - 4th throw)<br />
Total<br />
Score<br />
Target number<br />
(1st throw)<br />
Number<br />
(2nd - 4th throw)<br />
Total<br />
Score<br />
Hundreth Game Record<strong>in</strong>g Sheet<br />
Target number<br />
(1st throw)<br />
Number<br />
(2nd - 4th throw)<br />
Total<br />
Score<br />
Hundreth Game Record<strong>in</strong>g Sheet<br />
Target number<br />
(1st throw)<br />
Number<br />
(2nd - 4th throw)<br />
Total<br />
Score
0 1 2 |3|<br />
4 5 6 71<br />
8 9
Order<strong>in</strong>g Game - Resource Sheet 31
Notes
Maths In Your Head<br />
Maths In Your Head is a collection of whole class activities, usually used as <strong>lesson</strong><br />
<strong>starters</strong> or <strong>enders</strong>, to encourage mental mathematics. Developed by practis<strong>in</strong>g<br />
teachers, these activities are particularly suitable for use with<strong>in</strong> the <strong>lesson</strong> framework<br />
of the National <strong>Numeracy</strong> Strategy. The levels of difficulty can be adapted to address<br />
Key Stages 2 to 4.<br />
Each activity has a brief description. Teachers will need to spend some time<br />
<strong>in</strong>troduc<strong>in</strong>g the basic activity <strong>in</strong> order to familiarise students with it. As students<br />
become more confident, variations can be <strong>in</strong>troduced <strong>and</strong> the level of difficulty<br />
<strong>in</strong>creased.<br />
Photocopiable resource sheets are <strong>in</strong>cluded <strong>and</strong> any equipment required is clearly<br />
<strong>in</strong>dicated.<br />
Some variations are suggested, but there is space on each page for teachers to add<br />
their own variations.<br />
SMILE<br />
MATHEMATICS<br />
Isaac Newton Centre<br />
108A Lancaster Road<br />
London W11 1QS<br />
Tel. 020 7598 4841<br />
Fax. 020 7598 4838<br />
Email, <strong>in</strong>fo@smilemathematics.co.uk<br />
Web. www.smilemathematics.co.uk