1. Worle Mathematics Department Year 9 End of Year Exam Revision Guide Set 1

2. Worle Mathematics Department 1. What solutions can you find?

3. Worle Mathematics Department 2. Substitution a)m=5 and r=2, work out (m + r) 2 b)S=-2 and h=5, work out (h – s) 3

4. Worle Mathematics Department 3. Solving Equations

5. Worle Mathematics Department 4. Proportion I have yellow, pink and purple balls in a bag. There are 31 counters in the bag, there are twice as many yellow as pink. Some purple balls are added to the bag and there are now a total of 41. The number of purple balls has doubled. How many yellow balls are there in the bag?

6. Worle Mathematics Department 5. Scale Factors A.Given a scale factor of 1:12500, what is the real distance represented by a distance of 3.2cm? B.Given a scale factor of 1:500000, what is the distance on the map if the distance between two cities in real life is 5km?

7. Worle Mathematics Department 6. Volume of prisms a) Work out the volume and surface area of a cuboid with sides; 5cm, 6cm and 2cm. 3cm 8cm b) Work out the volume of the cylinder c) Extension: work out its surface area

8. Worle Mathematics Department 7. Ratio a)Split £700 in the ratio 2:3:5 Sarah, Jane and Jill share £300 between them. – Jane receives the largest amount £180 – The ratio of Jane’s share to Jill’s share is 2:1 b) Work how much each person gets c) Work out the ratio of Jane to Sarah.

9. Worle Mathematics Department 8. Estimation

10. Worle Mathematics Department 9. Pythagoras Work out the value of x 15cm 6cm x cm

11. Worle Mathematics Department 10. Simultaneous Equations

12. Worle Mathematics Department 11. Standard Form

13. Worle Mathematics Department 12. Formula

14. Worle Mathematics Department 13. Expand and Simplify

15. Worle Mathematics Department 14. Enlargement – Scale factor of 3 from the centre of enlargement P P

16. Worle Mathematics Department 15. Frequency Tables MarksFrequency 0 < m ≤ 104 10 < m ≤ 208 20 < m ≤ 3016 30 < m ≤ 405 40 < m ≤ 504 50 < m ≤ 603 Total40 a) Work out the estimated mean mark c) Draw a frequency polygon for this data d) Another set of students take the test their mean score is 32.5 and their range was 22 to 58. What can you say about the two sets of students? b) Work out the median class

17. Worle Mathematics Department 16. Similar Triangles The line, PR, cuts the triangle exactly half way along line AB. What is the length PR? 20cm 18cm PR A B C

18. Worle Mathematics Department 17. Percentages a)A MPEG player costs £48 in the sale, it was originally £60. Work out the percentage reduction. b)If I bought TV for £300 in the January Sale, which was reduced by 25%. What was the original price?

19. Worle Mathematics Department 18. Trigonometry 15cm 26° Work out the missing side x cm

20. Worle Mathematics Department 19. Sequences The rule to generate a sequence is add x and then multiply by 2. The second and third term in the sequence are 24 and 52. Can you work out the first term in the sequence

21. Worle Mathematics Department 20. Factorisation

22. Worle Mathematics Department 21. Lower and Upper Bounds A square has sides 8mm. The measurement is correct to the nearest mm. a)Work out the lower and upper bounds of the area of the square

23. Worle Mathematics Department 22. Indices

24. Worle Mathematics Department QuestionsAnswers 1.a) e.g. x=1, y=-10.67 or x=2, y= -8 2a) 49 b) 343 3.a) x=1 b)x=25 c) x=4 d) x > 2 4.14 5.a) 40m b) 1cm 6.a) 60cm 2 & 74cm b) 226.224 cm 3 c) 207.372 cm 2 7.a)£140, £210, £350 b)Sarah=£30, Jane=£180, Jill=£90 c)6:1 8.a) 536000 b) 0.0046 c) 2.5 QuestionsAnswers 9.13.75cm 10.X=4 & y = -10 11.a) 0.00843 b) 5.0 X 10 4 c) 5.353 X 10 -6 12. 13. 15.a) 26.5 b) 20 < m ≤ 30 16.10cm 17.a) 20% b) £400 186.58cm 1910 20.5(2d – 1) b) 6h(2 + h) c) (x -4)(x – 5) d) (x -7)(x+7) 2156.25 and 72.25 22.a) 36 b) 1/16 c) 3 d) 1/2