SMP Interact Book C1 Test Revision Homework Page 1

BOOK C1 REVIEW HOMEWORK

PART 1: CALCULATOR ALLOWED

1. Draw shapes with the following properties;

a) rotational symmetry of order 3

b) rotational symmetry of order 4 and no lines of symmetry

c) draw a rectangle then rotate it 180˚ about one of it’s corners

2. The letters of the word S Y M M E T R Y are written on cards and placed in a hat.

A card is drawn at random. What is the probability of taking out;

(a) a letter S (b) a letter M

3. Work out the area of this triangle and trapezium

4. Find the value of the letters a, b, c and d in the diagrams shown:

5. Use a calculator to evaluate these.

(a) 6.5 + 2.5 × 7.8 (b) (c) (d)

6. Find the volume of this prism

7. A block of ice with volume 405 cm3 is melted and poured into a basin with base area 55 cm2. How high up the beaker will the water come?

8. The test marks out of 30 were recorded for a science class with 10 pupils.

17 20 19 14 15 21 20 12 20 25

Find the mean, median and mode for this data.

PART 2: CALCULATOR NOT ALLOWED

9. Find the prime factorization of 126

10. Write the following in a simpler way a) t + 4 + t + 3 b) y – 4 + y – 2

c) p + 5 + 3p – 9 d) t – 6 – t -3 –t

11. Put the fractions in order, smallest first(show all working)

12. Work out the following, without a calculator:

a) b) c) d) e)

13. If t = 3 find the following:

a) 5t – 6 b) 7 + 2t c) 2(t + 6) d) e)

14. Copy and complete these a) 5.5 mm = …….. m b) 0.075 litres = …… ml

15. Work these out: a) 4.4 x 0.002 b) 0.9 x 3.2

16. Calculate: a) 22% of £650 b) 76% of £42

17. Write these fractions as percentages: a) b) c)

18. Write an equation for the following number puzzle

a) i) I think of a number ii) I think of a number

I subtract 8 I multiply by 3.6

I multiply by 2.5 I add 4

I add 10 I divide by 5

The result is 45 The result is 8

b) Use your equations to solve the puzzle.

19. If x = -4 and y = -2 find the value of the following;

a) 3x b) x + y c) 50 – 2x d) 2x + 3y e) 4 +

20. Find the nth term of these sequences;

a) 6, 9, 12, 15, …. b) 12, 20, 28, 36, ….

21. a)Share £36 in the ratio 1: 3 b) share 48 kg in the ratio 1:3: 4