EMANUEL SCHOOL 13+ Paper 1

Welcome to your EMANUEL SCHOOL 13+ Paper 1

1. Work out the following

(a) 42 x 13

(b) 56.23 + 87.1497

(c) 8.4 - 2.481

(d) 0.24 ÷ 0.08

2. Calculate:

a) \[\frac{1}{5}\] + \[\frac{3}{4}\]

(b) 1 \[\frac{2}{3}\] - \[\frac{3}{7}\]

(c) \[\frac{3}{7}\] x \[\frac{28}{33}\]

3. Find the size of the angles marked with a letter:

a =

b =

c =

d =

e =

4. Find \[\frac{2}{5}\] of 45

5. If S = a(b + c), find S when a = 3, b = 4, c = 5

6. Find the mean of 45, 23, 89, 12, 33

7. Complete the table below showing your working clearly underneath. Write the
fractions in their lowest terms.

Fraction	Decimal	Percentage
	0.25
	0.6
		5%
\[\frac{7}{25}\]

8. Find the area of the shape below

Area =

9. Find the value of

(a) \[2^{3}\]

(b) 5.3 x \[10^{2}\]

10. Write as a single expression in index form

(a) \[2^{2}\] x \[2^{4}\]

(b) \[\frac{4^{6}}{4^{4}}\]

11. A number is chosen at random from the first 12 positive numbers. What is the probability that it is a prime number?

12. Round each number to the accuracy given in brackets

a) 24.79 (2.s.f.)

b) 23.55 (1.d.p.)

c) 399 (1.s.f)

13. In a class of 30 pupils, 60% have school dinners and the rest have a packed lunch. How many pupils:

a) have a school dinner.

b) have a packed lunch

14. Simplify

a) 5y × 3y

b) 7(2x - 3)

c) 5 –(x + 3)

d) 2x + 4(x + 3) – 2

15. Calculate the area of each shape

(a)

Area =

(b)

Area =

16. Write down the next two numbers in each pattern:

(a) 10.5, 8, 5.5, 3 , ,

(b) 14, 11, 7, 2, ,

(c) -17.5, -13, - 8.5, - 4, ,

(d) -17, -12, - 8, –5, ,

17. Divide £24 into the ratio 3 : 5

18. In class 7B, \[\frac{3}{4}\] of the pupils support United, \[\frac{2}{9}\] of the pupils support City and the rest support Rovers. There are 36 pupils in class 7B.

(a) How many pupils support United?

(b) How many pupils support Rovers?

19. Find the size of the marked angles.

x° =

y° =

20. A letter is chosen from the word

T R A N S L A T I O N

Find the probability that the letter is:

(a) an S

(b) not a T

(c) a vowel

21. The graph below converts between pounds (£) and Japanese yen

i) Use the graph to convert £10 to yen.

ii) Convert 450 yen to pounds.

22. Solve the following equations

a) 2x + 4 = 10

b) 18 – 5x = 3

c) x + 3 = 2x - 4

d) 5(x - 3) = 15

23. The perimeter of the square and the rectangle are the same.
Work out the length of a side of the square.

Square side =

24. (a) Given that G = 8h + y

Find G if (i) h = 6 and y = -2

G =

(ii) h = -12 and y = -4

G =

(b) Given that x = \[\frac{(a - z)^{2}}{t}\]

Find x if (i) a = 16 z = 4 t = 12

x =

(ii) a = -8 z = -2 t = -9

x =

25. If the scale on a map is 1 : 25 000, what is the actual distance in km if the distance on the map is 5cm .

26. Complete the tables below for the given equations:

a) y = 2x + 1

x	0	1	2
y

b) x + y = 4

x	0		1
y		0

c) Use your tables to draw the lines y = 2x + 1 and x + y = 4 on the grid below. Label each line.

EMANUEL SCHOOL 13+ Paper 1

EMANUEL SCHOOL 13+ Paper 1

Momin

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