worle mathematics department year 9 end of year exam revision guide sets 2, 3 & 4

Worle Mathematics Department

Year 9 End of Year ExamRevision Guide

Sets 2, 3 & 4


1. Calculator work


2. Angles

152°

What is the value of angle ACB?x°

C

BA


3. Averages

Class Marks 11 12 13 14

Frequency 1 4 3 2

B. Work out the mean mark?

5 8 9 2 3 4 1 1 2 2A. Work out the median, mode, mean and range.


4. Solving EquationsFive friends play a game, here is some information;

1.Harry scores 10 points2.Sally scores 5 more than Harry3.Mark scores double Bridget4.Bridget scores 9 less than Sally5.The total score is 50

6.How many points does Daniel score?


5. Simplifying Ratio

• Simplify the following ratios;A. 6: 12B. 28:32C. 15:45D. 120:48E. 3 ¼ hours:45 minutes


6. Proportion

• A box of eggs holds 12 eggs.• The box and the eggs together weighs

288grams altogether• The box weighs 24grams• How much does each egg weigh (assuming

they are the same weight)


7. Solving Equations


8. Problem Solving

A. I think of a number I multiply the number by 2 then I add 10. What was my number if I end up with 34?

B. I think of a number, ¼ of my number is 20. What is my number?

C. I think of a number, 1/3 of my number is 6, what is 2 times my number?


9. Best ValueShop 1Box of 4 cakes are £2.80

Shop 2Box of 6 cakes are £4.32

I want to buy 10 cakes, which shop is the would you buy from?

Shop 1 then offers 20% off and Shop 2 offers 3 boxes for the price of one. Does this change your decision?


10. Area

6 cm

9 cm

10 cm


11. Ratio

A. Divide £20 in the ratio 2:3

B. 2. Split £45 in the ratio 1:2

C. 3. Split £60 in the ration 2:3:5


12. Percentage Increase/Decrease

A. How much will you pay if a £200 laptop is discounted by 20%

B. A DVD costs £12, the Blue Ray costs 9% more, how much is the Blue Ray


13. Scatter GraphsA. If a student

achieves 70 in maths, what science grade might you predict?

B. If a student achieves 58 in science what grade might they get in maths?


14. Estimation


15. Two way tables

100 people were surveyed and results show in above table. Complete the two-way tablea)How many men watched Eastenders?b)How many people did not watch Top Gear?c)What is the probability that a person, chosen at random, is a woman who watches Mythbusters? (Give in simplest form)

Eastenders Coronation Street

Top Gear

Mythbusters TOTAL

Men 36 10 52

Women 18 23

TOTALS 20 41 100


16. Probability


17. Enlargement – Scale factor of 3 from the centre of enlargement P

P


18. 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 1:50000, what is the distance on the map if the distance between two cities in real life is 5km?


19. Work out


20. Distance time graphsA. How long in

total did this person stop for after starting their journey?

B. Which time was this person travelling the fastest, how fast were they going?


21. Comparing Shapes

A. These two shapes share the same area, can you work out the width of the rectangle?

4cm

? cm

6 cm

4cm

10cm

5.71cm

D cm

B. These two shapes share the same perimeter/circumference, can you work out the diameter of the circle? Assume Pi=3.142


22. Substitution/Expand & Factorise


23. Congruent Shapes

• What does congruent mean?• Label second shape to show they are

congruent.

A

8cm

60°

? cm

This shape is congruentto the A, what is the missing angle?


24. Inverse Proportion

A. If it takes 8 people 2 hours to pick a field, how long will it take if you have 32 people?

B. How many people will you need to pick the field in 4 hours?


Question Answer

1 0.323810306, 0.3

2 62

3A Mode = 2, Median = 2.5, Mean = 3.5, Range = 8

3B Mean = 12.6

4 7

5A 1:2

5B 7:8

5C 1:3

5D 5:2

5E 13:3

6 22g

Question Answer

7 A) x=5 B) x=10 C) x=3 D) x=2

8 A) 12 b) 80 c)36

9 a) Shop 1 b) Yes

10 72 cm2

11 A) £8 and £12B) £15 and £45C) £12, £18 and

£30

12 A) £160 B) £10.92

13 a) 72 – 74b) 48 – 50

14 A) 5360000B) 0.0046C) 2.5


Question Answer

15 a) 2 b) 59 c) 1/50

16 a) 10/13b) 6

18 a) 400m b) 10cm

19 a) Look them up b) 8

20 a) 2hours 15 minutesb) 20 km/h

21 a) 3cmb) 10cm

22 a) 46b) 1

23 30°

24 a) 30 minsb) 16 people

worle mathematics department year 9 end of year exam revision guide sets 2, 3 & 4

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