Bai Kiem Tra So 1 - Diem

GCSE Bitesize examinations General Certificate of Secondary Education MATHEMATICS Foundation Tier Paper 1 Non-calculator Marking scheme

Unless otherwise stated, correct answers only should be accepted.

1

Correct answers only should be accepted. 1.

2.

(a)

1653

(1 mark)

(b)

494

(1 mark)

(c)

27.5 or 271/2

(1 mark)

(a)

0.4

(1 mark)

(b)

38%

(1 mark)

(c)

9 25 1 mark for showing

3.

4.

18 50

(2 marks)

(d)

300 000

(1 mark)

(e)

1 8

(1 mark)

(a)

A (–2 , –2)

(b)

D (3 , –2 )

(a)

33 44

9 12

B (–2 , 4)

C (3 , 4)

(2 marks)

30 40

21 28

Take 1 mark off for each incorrect answer. (b)

0.25

3 12

(3 marks)

(2 marks)

25%

Take 1 mark off for each incorrect answer.

(2 marks)

2

5.

6.

7.

8.

(a)

1 mark for any ONE of two black squares.

(1 mark)

(b)

Draw one line of symmetry onto this pattern.

(1 mark)

(c)

Cuboid or equivalent

(1 mark)

(a)

Hexagon

(1 mark)

(b)

720° 1 mark for 6 triangles or 6 × 180°

(2 marks)

(c)

120°

(1 mark)

(a)

3

(1 mark)

(b)

£5

(1 mark)

(c)

£7.50

(2 marks)

(a)

28 1 mark for showing 18 + 10

(2 marks)

(b)

18

(1 mark)

(c)

2 1 mark for showing -10 and -12

(2 marks)

3

9.

10.

(a)

75 kg

(1 mark)

(b)

100 m

(1 mark)

(c)

2.5 m

(1 mark)

(d)

125 ml

(1 mark)

(a)

1 or 0.1 (NOT 10%) 10

(1 mark )

(b)

3 or 0.3 (NOT 30%) 10

(1 mark)

(c)

4 2 or or 0.4 10 5

(2 marks)

1 mark for showing 4, or 1 mark for the list of primes: 2, 3, 5, 7 11.

12.

(a)

3.5m

(1 mark)

(b)

2m

(1 mark)

(c)

0.5 m/s or ½ m/s 1 mark only if m/s is not included.

(2 marks)

(d)

6 to 8 seconds

(1 mark)

(e)

The car has stopped

(1 mark)

(a)

8a + 4b

(2 marks)

(b)

8x + 6

(2 marks)

(c)

7

(1 mark)

(d)

3

(1 mark)

(e)

7 1 mark for showing 3x = 21

(2 marks)

4

13.

14.

(a)

1200cm³ 1 mark for showing 1200 without the units cm3.

(2 marks)

(b)

1440cm³ 1 mark for showing that 20% is 240.

(2 marks)

(a)

88° (2 marks) 1 mark for showing 22 × 4 or 22 × 360 ÷ 90, or 22 ÷ 90 × 360

(b)

9 1 mark for showing 10% of 90

(2 marks)

15.

Rakesh: £25 Tina: £15 (3 marks) 1 mark for showing 40 ÷ 8, and 1 mark for showing 5 x 5 and 3 x 5

16.

(a)

£1760 1 mark for showing 1080 + 680

(2 marks)

(b)

120t + 40c

(2 marks)

5

17.

(a)

1 mark for orientation and 1 mark for position.

(2 marks)

(b)

1 mark for correct orientation and 1 mark for position.

(2 marks)

(c)

(3 marks)

6

18.

(a)

x = 150°

(1 mark)

(b)

y = 85° and z = 95°

(2 marks)

(c)

1 mark if there is one error. Acute angle

21°, 89°

Obtuse angle

156°, 175°

Reflex angle

310°

Right angle

90°

(2 marks)

19.

(a)

£72 1 mark for showing that 20% of £90 is £18.

(2 marks)

(b)

£70

(2 marks)

1 mark for showing that

20.

2 of £90 is £20 9

(c)

£2

(1 mark)

(a)

1, 4, 7, 10

(1 mark)

(b)

13, 16

(2 marks)

(c)

Add 3, plus 3 or similar

(1 mark)

(d)

Times 3 take away 2, or ×3 - 2, or 3x - 2, or similar. 1 mark for each part of the workings.

(2 marks)

7

21.

(a)

(b)

(c)

Complete the table for the equation y = 3x + 1

x

-3

-2

-1

0

1

2

3

4

y

-8

-5

-2

1

4

7

10

13

Take 1 mark off for each incorrect answer.

(3 marks)

1 mark for plotting 1 mark for drawing the straight line.

(2 marks)

Add the line y = 7 to your graph.

(1 mark)

8