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2. F F F F E E E E D D D D C C C C NUMBER ALGEBRA SHAPE SPACE & M
HANDLING
DATA F F F F E E E E
SHAPE and SPACE
HANDLING DATA D D D D
SHAPE and SPACE
HANDLING DATA C C C C
SHAPE and SPACE
HANDLING DATA

3. Multiply the two numbers on the spinners together.10 1 2 8 3 7 4 6 5 9 10 1 2 8 3 7 4 6 5 9
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Answer

4. Multiply the two numbers on the spinners together.10 1 2 8 3 7 4 6 5 9 10 1 2 8 3 7 4 6 5 9 32
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5. Put the following oC temperatures in order of size smallest to largest.-3
10o 8 0o
-10o 4
-10
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Answer

6. Put the following oC temperatures in order of size smallest to largest.-3
10o 8 0o
-10o 4
-10
- 10, -3, 0, 4, 8
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Explain?

7. Put the following oC temperatures in order of size smallest to largest.-3
10o 8 0o
-10o 4
-10
- 10, -3, 0, 4, 8
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8. 23 8 Write the improper fraction below as a mixed number.
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Answer

9. 2 23 8 7 8 Write the improper fraction below as a mixed number.
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10. Back to board Answer Date Amount Jan 1st 2006 £1000 Jan 1st 2007
Jenny has £1000 in her building society account on 1st January The interest rate is fixed at 5%. She intends to leave the money in the account for 3 years without making any withdrawals (a) What do you multiply the £1000 by to get the amount at the end of the first year? (b) What is balance for her account on 1st January
Date
Amount
Jan 1st 2006
£1000
Jan 1st 2007
Jan 1st 2008
Jan 1st 2009
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Answer

11. Back to board Explain? Date Amount Jan 1st 2006 £1000 Jan 1st 2007
Jenny has £1000 in her building society account on 1st January The interest rate is fixed at 5%. She intends to leave the money in the account for 3 years without making any withdrawals (a) What do you multiply the £1000 by to get the amount at the end of the first year? (b) What is balance for her account on 1st January
Date
Amount
Jan 1st 2006
£1000
Jan 1st 2007
Jan 1st 2008
Jan 1st 2009
(a) 1.05
(b) £
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Explain?

12. Back to board Date Amount Jan 1st 2006 £1000 Jan 1st 2007 Jan 1st 2008
Jenny has £1000 in her building society account on 1st January The interest rate is fixed at 5%. She intends to leave the money in the account for 3 years without making any withdrawals (a) What do you multiply the £1000 by to get the amount at the end of the first year? (b) What is balance for her account on 1st January
Date
Amount
Jan 1st 2006
£1000
Jan 1st 2007
Jan 1st 2008
Jan 1st 2009
(a) 1.05
£1050
x 1.05
x 1.05
x 1.05 £ £
(b) £
(a) An increase of 5% means that the new amount is 105% of the original value and a 105% = 105/100 = 1.05 as a multiplier.
(b) Apply the multiplier repeatedly to get the new amount at the end of each year.
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Notice that 1000 x gets the answer more efficiently.

13. 8 x 9 = 72
72  9 = ?
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Answer

14. 8 x 9 = 72
72  9 = ? 8
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15. The number sequence below is called the Fibonacci Sequence and is named after a mathematician who lived many hundreds of years ago. Each number in the sequence is the sum of the two previous numbers. Work out the next 3 numbers of this sequence.
1, 1, 2, 3, 5, 8,…
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Answer

16. The number sequence below is called the Fibonacci Sequence and is named after a mathematician who lived many hundreds of years ago. Each number in the sequence is the sum of the two previous numbers. Work out the next 3 numbers of this sequence.
1, 1, 2, 3, 5, 8,…
13, 21, 34
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17. The first 4 terms of a number sequence are shown below
The first 4 terms of a number sequence are shown below. Describe in words the rule that gives the nth term in the sequence. 1 2 3 4
………
nth 4, 7,
10,
13,………
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Answer

18. Multiply the term number by 3 and add 1
The first 4 terms of a number sequence are shown below. Describe in words the rule that gives the nth term in the sequence. 1 2 3 4
………
nth 4, 7,
10,
13,………
Multiply the term number by 3 and add 1
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19. 7 + 5(3x + 6) - 2(x + 4) - 3 Simplify the expression below:
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Answer

20. 7 + 5(3x + 6) - 2(x + 4) - 3 Simplify the expression below: 13x + 26
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Explain?

21. 7 + 5(3x + 6) - 2(x + 4) - 3 7 +15x + 30 - 2x - 8 - 3 13x + 26
Simplify the expression below:
7 + 5(3x + 6) - 2(x + 4) - 3
Expanding each bracket gives:
7 +15x x
Collecting like terms gives:
13x + 26
13x + 26
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22. What is the volume of the shape shown?
= 1 cm3
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Answer

23. = 1 cm3 24 cm3 What is the volume of the shape shown? Back to board
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24. = 1 cm3 12 8 4 24 cm3 What is the volume of the shape shown?
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25. What is the order of rotational symmetry for the shape below?
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Answer

26. 3 What is the order of rotational symmetry for the shape below?
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Explain?

27. What is the order of rotational symmetry for the shape below?3 2 1
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28. Match the congruent shapes.B C D E F G
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Answer

29. Match the congruent shapes.B C D E F G
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30. Calculate the volume of the cylinder. (1 dp)
6 cm
8 cm
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Answer

31. Calculate the volume of the cylinder. (1 dp)
6 cm
8 cm
904.8 cm3
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Explain?

32. V = r2h Calculate the volume of the cylinder. (1 dp) 904.8 cm3
Remember
V =  x 62 x 8 =
904.8 cm3
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33. In how many matches did the batsman score between 20 and 39 runs?
Runs scored by an opening batsman in one-day cricket matches last season. 20 15
Frequency 10 5
0 - 19
Runs Scored
Answer
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34. In how many matches did the batsman score between 20 and 39 runs?
Runs scored by an opening batsman in one-day cricket matches last season. 20 15
Frequency 9 10 5
0 - 19
Runs Scored
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35. Prof and Beaky are playing a dart game at the fair
Prof and Beaky are playing a dart game at the fair. Beaky throws a dart at random at the cards. What is the probability that she hits a picture card?
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Answer

36. Prof and Beaky are playing a dart game at the fair
Prof and Beaky are playing a dart game at the fair. Beaky throws a dart at random at the cards. What is the probability that she hits a picture card?
5/9
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Explain?

37. 5 of the cards are picture cards out of a total of 9 cards.
Prof and Beaky are playing a dart game at the fair. Beaky throws a dart at random at the cards. What is the probability that she hits a picture card?
5/9
5 of the cards are picture cards out of a total of 9 cards.
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38. Red Blue White Silver Black Back to board Answer
Prof did a survey about the colour of cars passing underneath a motor way bridge. From the data he constructed the table of probabilities shown below.
Use the table to calculate the probability that a car passing underneath the bridge will be silver.
Red
Blue
White
Silver
Black
0.2
0.17
0.15 ?
0.1
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Answer

39. 0.38 Red Blue White Silver Black Back to board Explain?
Prof did a survey about the colour of cars passing underneath a motor way bridge. From the data he constructed the table of probabilities shown below.
Use the table to calculate the probability that a car passing underneath the bridge will be silver.
Red
Blue
White
Silver
Black
0.2
0.17
0.15 ?
0.1
0.38
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Explain?

40. 0.38 Red Blue White Silver Black Back to board
Prof did a survey about the colour of cars passing underneath a motor way bridge. From the data he constructed the table of probabilities shown below.
Use the table to calculate the probability that a car passing underneath the bridge will be silver.
Red
Blue
White
Silver
Black
0.2
0.17
0.15 ?
0.1
0.38
1 - ( )
Remember: For mutually exclusive events the total of all probabilities is 1.
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41. Christmas raffle tickets are sold to students in a school as shown in the table below (a) What is the probability that the winning ticket will be green? (b) What is the probability that the winning ticket will show the number 13?
Ticket Colour
Numbers used
Year 7
red
1 to 85
Year 8
blue
1 to 80
Year 9
green
1 to 75
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Answer

42. Christmas raffle tickets are sold to students in a school as shown in the table below (a) What is the probability that the winning ticket will be green? (b) What is the probability that the winning ticket will show the number 13?
Ticket Colour
Numbers used
Year 7
red
1 to 85
Year 8
blue
1 to 80
Year 9
green
1 to 75
(a) 75/240
(b) 3/240
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Explain?

43. Christmas raffle tickets are sold to students in a school as shown in the table below (a) What is the probability that the winning ticket will be green? (b) What is the probability that the winning ticket will show the number 13?
Ticket Colour
Numbers used
Year 7
red
1 to 85
Year 8
blue
1 to 80
Year 9
green
1 to 75
(a) 75/240
(b) 3/240
(a) 75 tickets are green out of a total of 240.
(b) There are 3 tickets numbered 13 out of a total of 240.
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