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EP.M158 Buckinghamshire Style Maths Paper 2

GL ASSESSMENT BUCKS-MOCK-2 · Calculators not allowed · about 60 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out 243 + 159.

(Total for Question 1 is 1 mark)

A packet of seeds costs 85p. Ben buys 3 packets. How much does he pay?

(Total for Question 2 is 1 mark)

Write these fractions in order smallest to largest: 1/2, 3/8, 5/8.

(Total for Question 3 is 1 mark)

A rectangle has width 7 cm and length 15 cm. Work out its area in cm².

(Total for Question 4 is 2 marks)

Kai cycles 12 km in 30 minutes. At the same speed, how far will he cycle in 1 hour?

(Total for Question 5 is 2 marks)

State the next number in the sequence: 2, 6, 18, 54, __.

(Total for Question 6 is 1 mark)

A shop reduces the price of a toy from £24 to £18. What is the percentage decrease? Give your answer to the nearest whole percent.

(Total for Question 7 is 2 marks)

Expand and simplify: 3(x + 4).

(Total for Question 8 is 3 marks)

How many centimetres are there in 2.5 metres?

(Total for Question 9 is 1 mark)

A car uses 6 litres of fuel to travel 90 km. How many kilometres per litre does it get? Give your answer to 1 decimal place.

(Total for Question 10 is 2 marks)

The angles at a point on a straight line total 180 degrees. In the diagram, one angle is 3x degrees and the other is 2x + 10 degrees. Work out x and find the two angles.

(Total for Question 11 is 3 marks)

Write 0.375 as a fraction in its simplest form.

(Total for Question 12 is 1 mark)

A theatre has 240 seats. 35% of the seats are sold for a matinée performance. How many seats are sold? Give your answer to the nearest whole seat.

(Total for Question 13 is 2 marks)

What is the prime factorisation of 84? Express your answer using indices where appropriate.

(Total for Question 14 is 1 mark)

A bag contains 5 red, 4 blue and 3 green counters. One counter is taken at random. Work out the probability that it is either blue or green. Give your answer as a fraction in simplest form.

(Total for Question 15 is 3 marks)

Simplify 45/60. Give your answer in lowest terms.

(Total for Question 16 is 2 marks)

A square has area 81 cm². Work out the length of one side in cm.

(Total for Question 17 is 1 mark)

Convert 3 hours 45 minutes into minutes.

(Total for Question 18 is 3 marks)

A farmer has 210 litres of milk. He packs it into bottles of 1.5 litres. How many full bottles can he fill and how many litres are left over?

(Total for Question 19 is 4 marks)

A rectangular garden has length (2x + 3) metres and width (x - 1) metres. The area is 18 square metres. Find the value(s) of x.

(Total for Question 20 is 5 marks)

Mark scheme · EP.M158 Buckinghamshire Style Maths Paper 2

Question 1

B1 402 cao
Answer: 402 (243 + 159 = 402).

Question 2

B1 £2.55 cao
Answer: £2.55 (3 x £0.85 = £2.55).

Question 3

B1 3/8, 1/2, 5/8 cao
Answer: 3/8, 1/2, 5/8.

Question 4

M1 Correct method: multiply 7 by 15 or equivalent
A1 105 cm² cao
Answer: 105 cm² (7 x 15 = 105).

Question 5

M1 Recognise 1 hour is twice 30 minutes and double the distance, or use speed = distance/time
A1 24 km cao
Answer: 24 km (12 km in 30 minutes so 24 km in 60 minutes).

Question 6

B1 162 cao
Answer: 162 (each term x3).

Question 7

M1 Method: (24 - 18)/24 = 6/24 or equivalent
A1 25% cao
Answer: 25% (decrease = 6/24 = 0.25 = 25%).

Question 8

M1 Multiply: 3x + 12 seen
A1 3x + 12 cao
A1 Final simplified form 3x + 12 cao
Answer: 3x + 12.

Question 9

B1 250 cm cao
Answer: 250 cm (1 m = 100 cm so 2.5 m = 250 cm).

Question 10

M1 Use 90/6 or equivalent to find km per litre
A1 15.0 km per litre cao
Answer: 15.0 km per litre (90 ÷ 6 = 15.0).

Question 11

M1 Set up equation 3x + (2x + 10) = 180
M1 Solve: 5x + 10 = 180 => 5x = 170 => x = 34
A1 Angles are 3x = 102 degrees and 2x + 10 = 78 degrees cao
Answer: x = 34; angles are 102 degrees and 78 degrees.

Question 12

B1 3/8 cao
Answer: 3/8 (0.375 = 375/1000 = 3/8).

Question 13

M1 Method: 240 x 0.35 or 240 x 35/100
A1 84 seats cao
Answer: 84 seats (240 x 0.35 = 84).

Question 14

B1 2² x 3 x 7 cao
Answer: 2² x 3 x 7 (84 = 4 x 3 x 7).

Question 15

M1 Find total counters: 5 + 4 + 3 = 12
M1 Find favourable outcomes: 4 + 3 = 7
A1 Probability 7/12 cao
Answer: 7/12.

Question 16

M1 Divide numerator and denominator by common factor 15 or show cancelling
A1 3/4 cao
Answer: 3/4 (45/60 = (15x3)/(15x4) = 3/4).

Question 17

B1 9 cm cao
Answer: 9 cm (√81 = 9).

Question 18

M1 Convert hours to minutes: 3 x 60 = 180
M1 Add minutes: 180 + 45 = 225
A1 225 minutes cao
Answer: 225 minutes.

Question 19

M1 Method to divide 210 by 1.5 or multiply numerator and denominator by 10 to use integers
M1 210 ÷ 1.5 = 140 seen (or 2100 ÷ 15 = 140)
M1 State number of full bottles: 140
A1 0 litres left cao
Answer: 140 full bottles and 0 litres left over (210 ÷ 1.5 = 140).

Question 20

M1 Write equation (2x + 3)(x - 1) = 18
M1 Expand to form: 2x² + 3x - 2x - 3 = 18 or 2x² + x - 3 = 18
M1 Rearrange to 2x² + x - 21 = 0 and attempt factor or quadratic formula
M1 Factorisation: (2x + 7)(x - 3) = 0 or show quadratic roots
A1 Final answers x = 3 or x = -7/2 with reason; only x = 3 acceptable for dimensions positive cao
Answer: Equation gives x = 3 or x = -7/2; x = 3 only acceptable for the garden dimensions (length 9 m, width 2 m).

Buckinghamshire Style Maths Paper 2 - Worksheets, Questions and Revision