S E C T IO N 3Essential Maths

No Calculators

1. Work out (a) V81 +211 - 1 + * ' ' ^ z' (1 mark)(b) 22 + 32+42 - 2f t - < it | t " 2- (1 mark)

( H (62 + 82) = i n * * - - ^ - - . (1 mark)

2. Solve the equations.(a) la - 9 = 54 7 ^

cx - (1 mark)

(b )5n- 8 = 2n + 10 5 irt-2H - ( o - t ^- \cb

(2 marks)

3. Copy and complete.(a) 5% of 300 = (1 mark)

(b) 23 + I GO = 0.23 (1 mark)

(c) So * 12 = 600 (1 mark)

4. Write the number 24 as the sum of two prime numbers. V V -V ^& A- \ \Do this is three different ways ' - n (3 marks)

5. A chef needs 110Og of potatoes to make 5 meals.How many grams of potatoes does he need to make 22 meals?

( l o o K ^

(3 marks)(3 marks)

6. These are the marks of some pupils in test.

23

I'

(2 marks)10. A minibus can carry 17 passengers. How many minibuses are needed

for 200 passengers?^ Y l (2 marks)

11.Helsinki

15C[ ~ i o c(a) How much colder is Helsinki than Paris? V (1 mark)

(b) What is the temperature difference between Nice and Helsinki? , ^ ^ c (1 mark)(c) The temperature is Helsinki rises by 18c. What is the new temperature?

. ~ o , (1 mark).fcf - b c

Paris14 c

Nice27c

.

A B

Draw a copy of diagram B and shade some squares so that the same fraction of diagrams A and B is shaded.

(2 marks)

\>. I am thinking of two numbers 7C ry ~2When I add the numbers the answer is 2 yWhen l multiply the numbers the answer is -24 Y - b What are the two numbers? y - (2 marks)

14. the magic square the of the numbers in each row, column and main diagonal is the same.Copy and complete.

1 62

3(3 marks)

15. Copy the diagram on squared paper.

(a) Draw the reflection of shape A in the horizontal broken line XY.

(1 mark)

() Draw the reflection of shape B in the diagonal broken line (2 marks)

16. Workout (a) o f40 = 1 ! f (1 mark)

3 4(b) + = 10 10

(1 mark)

(c) 22% of 500 = (2 marks)

17. Work out the area of this shape.'

I V * S t - r - t s + ^

A4cm

r I rI 5cm13 cm

- [^ \ 0 \* " (3 marks)

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18. Here are five number cards 5 2 3 9 6

Use the five number cards to make the answer to the calculation below as large as possible

z i>(2 marks)

19. (a) Write down 3 numbers with a mean of 5 X ^ (1 mark)(b) Write down 5 numbers with a median of 7 k T 1 (1 mark)(c) Write down 8 numbers with range of 11 I X ^ ^ ^ Vt ' ' ' (1 mark)

20. Work out the angles marked with letters. (Do not just measure the angles)

(b) Given that > 1 and that + 4 < 7.5, list all the possible whole number values of . (\ > \ f X > (2 marks)

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