KENT COLLEGE 13+ Paper 1

Welcome to your KENT COLLEGE 13+ Paper 1

1. Work out:
(a) ⁻13 + 5

(b) ⁻5 – 6

(c) 3 + ⁻8

(d) ⁻12 –⁻23

2. Work out
(a) 8 x ⁻ 7

(b) ⁻28 ÷ ⁻4

(c) 3 x ⁻5 x ⁻10

(d) (21 + ⁻6) x ⁻2

3. Write down all the factors of 24.

4. Write 36 as a product of its prime factors.

5. Work out:
(a)\[2^{4}\]

(b) \[4^{3}\]

6. Simplify:
(a) 5x + 7x

(b) 8x + 3y + 9x – 3y

(c) 6p – 2q – 4p + q

(d) m x m x m x m

(e) 3 x w x 5yz

(f) \[y^{12}\] ÷ \[y^{4}\]

7 .Expand the bracket: 3(4a – 7c)

8. What are these shapes ?

9. What size is angel P ?

10. Factorise: 15x + 40

11. Work out the following, simplifying your answers where possible:

(a) \[\frac{4}{5}\] + \[\frac{7}{15}\]

(b) \[\frac{3}{4}\] x \[\frac{7}{9}\]

12. 10 students were asked how many packets of crisps they ate during last week.

2, 5, 7, 2, 4, 3, 4, 4, 0, 4,

Calculate:

(a) the mean,

(b) the mode.

13. Solve the following equations

(a) 5x – 4 = 26

(b) 3x - 5 = 10

(c) 3 ( x + 7) = 45

14. Divide £480 in the ratio 3 : 5.

15.

(a) Work out the size of angle m. Give a reason for your answer.

(b) Work out the size of angle n. Give a reason for your answer.

16.

(a) Rotate shape A 90° clockwise about the origin . Label the image P .

(b) Translate Shape A by \[\left(\frac{3}{-2}\right)\] . Label the image Q.

(c) Describe fully the single transformation which maps shape A onto Shape B.

17. Enlarge the tringle by scale factor 2 .

Use point A as the center of enlargement .

18. For the equation y=3x +1 , Complete the table of values , then draw the graph .

x	-4	-3	-2	-1	0	1	2	3	4
y		-8			1		7