1(2018/s/23/q3)
Liz takes 65 seconds to run 400m.
Calculate her average speed. .......................................... m/s [1]
2(2017/w/21/q8)

The diagram shows three identical cuboids in a tower.
The height of one cuboid is 6.5 cm, correct to the nearest millimetre.
Work out the upper bound of the height of the tower. ............................................. cm [2]
3(2018/w/21/q8)
Saafia has a barrel containing 6000 millilitres of oil, correct to the nearest 100ml. She uses the oil to fill bottles which each hold exactly 50ml.
Calculate the upper bound for the number of bottles she can fill. .................... [2]
4(2017/m/22/q7)
Without using your calculator and by rounding each number correct to 1 significant figure, estimate the value of
 $\frac{10.3\times19.5}{88.9-43.2}$
 You must show all your working........[2]
5(2017/s/22/q18)
A rectangle has length 62 mm and width 47mm, both correct to the nearest millimetre.
The area of this rectangle is $A mm^2$. Complete the statement about the value of A
.................................. $\leq$ A <................................... [3]
6(2017/w/22/q10)
The sides of a triangle are 5.2cm, 6.3cm and 9.4 cm, each correct to the nearest millimetre. Calculate the lower bound of the perimeter of the triangle.
..................................... cm [2]
7(2018/s/22/q12)
Anna walks 31km at a speed of 5km/h. Both values are correct to the nearest whole number. Work out the upper bound of the time taken for Anna’s walk. ...................................... hours [2]
8(2018/s/23/q16)
(a) The length of the side of a square is 12cm, correct to the nearest centimetre.
Calculate the upper bound for the perimeter of the square. ........................................... cm [2] (b) Jo measures the length of a rope and records her measurement correct to the nearest ten centimetres.
The upper bound for her measurement is 12.35m.
Write down the measurement she records. ............................................. m [1]
9(2018/w/23/q12)
The area of a square is $42.5 cm^2$, correct to the nearest $0.5cm^2$.
Calculate the lower bound of the length of the side of the square. ........................ cm [2]
10(2017/s/21/q2)
The thickness of one sheet of paper is $8 \times 10^-3$ cm. Work out the thickness of 250 sheets of paper. ........................................ cm [1]
11(2017/s/21/q7)
Without using a calculator, work out $1 \frac23 + \frac57$ .
Write down all the steps of your working and give your answer as a mixed number in its simplest form
12To be continued

Answer Key


1. \( 6 \frac{2}{13} \)
2. 19.65
3. 121
4. 70.7625 and 72.4625
5. 2859.752968 .75
6. 20.75
7.7
8. (a) 50 (b) \( 12 \cdot 3 \)
9. 6.5[0]
10. 2

11. \( 2 \frac{8}{21} \)
12. 2
13. (a) 1.49220 (b) 1.5
14. \( \frac{14}{15} \)
15. 900
16. (a) 23 (b) \( 3 n+5 \)