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7P&M MATHS REVISION (No Calculators except in Qu 15 & 17)
June 2011
1. Calculate £5.26 + £ 3.47 – £6.80
Answer: £…………………………………….. (3)
2. Calculate 23m – 64cm
Answer: …………… m …………………cm (3)
3. Calculate 2/9 of 72
Answer:…………………………………….. (2)
4.
(a) Multiply 2.715 by 0.6
Answer:…………………………………….. (2)
(b) Write your answer in (a) correct to 1 decimal place.
Answer:…………………………………….. (1)
5.
(a) Subtract ⅛ from 3¼
Answer:…………………………………….. (3)
(b) Find ⅔ of 9/20 , giving your answer as a fraction in its lowest terms.
Answer:…………………………………….. (3)
6. Joan bought 3 pens, 2 pencils and a ruler. Each pen cost 47pence and each pencil
cost 18 pence. She paid with a £5 note, receiving £2.77 change. What was the cost
of the ruler?
Answer:…………………………. pence (4)
7. John had 18 sweets. He ate ⅓ of them and gave ¾ of the remainder to his sister.
How many sweets did he have left?
Answer:…………………………………….. (4)
2
8.
(a) From the numbers 6, 11, 15, 19, 20, 35, 36 pick:
(i) a multiple of 9,
Answer:…………………………(1)
(ii) a square number,
Answer:…………………………(1)
(iii) all the prime numbers,
Answer:…………………………(2)
(iv) a multiple of 5 which is a factor of 135.
Answer:…………………………(1)
(b) There is another number which is a factor of all the numbers in part (a).
What is it?
Answer: ………………………………. (2)
9. Simplify the following:
(a) 3t – 2p – 2t
Answer:…………………………………….. (1)
(b) 2s + q – 3s + 4q
Answer:…………………………………….. (2)
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10. If a = 5, b = 0 and c = 3, find the value of 3b + 4a + ac
Answer:…………………………………….. (2)
11. Solve these equations:
(a) x – 2 = 4
Answer: x = ………………………………. (1)
(b) 16 – x = 9
Answer: x = ………………………………. (2)
(c) x = 6
3
Answer: x = ………………………………. (2)
(d) 3x – 2 = 2x + 13
Answer: x = ………………………………. (3)
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12. In the figure below, PQ is parallel to RS, and triangle ABC is isosceles.
P
A
R
Q
54°
B
S
C
Find the size of each of the angles named, giving brief reasons for your answers.
(a) Angle ACB
Answer: ……………………………..° (2)
(b) Angle BAC
Answer: ……………………………..° (2)
(c) Angle PAB
Answer: ……………………………..° (2)
13. A car marked at £8000 was sold for £7440.
(a) How much discount was given?
Answer: £ …………………………….. (1)
(b) What percentage was this discount of the marked price?
Answer: ………………………….. % (2)
5
14. Eric the shepherd (E) wants to move his sheep with the help of his sheepdog called
Flicker (F). George and Flicker are standing at E shown below.
N
E
(a) Using a scale of 1cm : 100 m, plot the position of the sheep (S) above, if they are
500 m away and north east of E.
(2)
(b) Eric now sends Flicker to drive the sheep 400 m on a bearing of 110° to a gate
(G) into the next field. Accurately draw in point G on your diagram above.
(2)
(c) Eric now walks to the gate where Flicker is holding the sheep. Along what
bearing does Eric walk to the gate?
Answer: …………...……………..° (2)
(d) How far does Eric walk to get to the gate?
Answer: ……………………….. m (2)
(e) How far has Flicker run in total?
Answer: ……………………….. km (2)
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15. Calculator question. The masses of seven boys in a school rugby team total
294kg. The masses of six of them are: 46kg, 39kg, 42kg, 37kg, 45kg and 40kg.
(a) What is the mass of the seventh boy?
Answer: ……………………………..kg (2)
(b) What is the mean mass of the seven boys?
Answer: ……………………………..kg (2)
An eighth boy now joins the group and the mean mass of the eight boys is 42.5kg.
(c) What is the total mass of the eight boys?
Answer: ……………………………..kg (2)
(d) What is the mass of the eighth boy?
Answer: ……………………………..kg (2)
7
16. Write down the square roots of each of these numbers?
(a) 36
Answer: …………………………….. (1)
(b) 3600
Answer: …………………………….. (1)
(c) 0.36
Answer: …………………………….. (1)
17. Calculator question. Give answers that are not exact correct to 3 significant
figures.
A circle with a radius of 5cm is drawn.
5 cm
Not to scale.
(a) What is the circumference of this circle?
Answer: ……………………….. cm (3)
(b) What will be the area of this circle.
Answer: ……………………….. cm2 (3)
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18. The diagram below shows a plan a room is drawn to a scale of 1cm to 2m.
A
B
(a) Measure the length AB in the diagram.
Answer: ………………………………. cm (1)
(b) What is the length in metres of the wall represented by AB?
Answer: ………………………………. m (2)
The floor is covered with a carpet. The edge of the carpet is bound with tape at a cost of
£1.20 a metre.
(c) Find the cost of binding the edge of the carpet.
Answer: £ …………………………………(4)
9
19. Tom has a twelve sided dice. Each side has a number 1 to 12 marked on it.
(a) What is the probability of throwing a 7?
Answer: ……………………………………(1)
(b) What is the probability that Tom throws over 9?
Answer: ……………………………………(2)
(c) Tom’s friend Jack tries to cheat using a 13 sided dice.
(i) Does Jack have a better or worse chance of throwing 9 or under using his
dice than Tom does using his 12 sided dice?
Answer: ……………………………………(1)
(ii) What chance does Jack have of this throw with his own dice?
Answer: ……………………………………(1)
TOTAL 93 marks
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