PAPER 2

PAPER 2A

 

 

QUESTION 1 [1 mark]

Write the numbers in increasing order starting with the smallest.

10010,    11010,    10001,    11100,    1101110010,\,\,\,\, 11010,\,\,\,\, 10001, \,\,\,\, 11100, \,\,\,\, 11011

 

Answer type: Multiple choice type 1

A: 10001,    10010,    11010,    11011,    1110010001,\,\,\,\, 10010,\,\,\,\, 11010, \,\,\,\, 11011, \,\,\,\, 11100

B: 10001,    10010,    11100,    11010,    1101110001,\,\,\,\, 10010,\,\,\,\, 11100, \,\,\,\, 11010, \,\,\,\, 11011

C: 10001,    10010,    11011,    11010,    1110010001,\,\,\,\, 10010,\,\,\,\, 11011, \,\,\,\, 11010, \,\,\,\, 11100

D: 11100,    11011,    11010,    10010,    1000111100,\,\,\,\, 11011,\,\,\,\, 11010, \,\,\,\, 10010, \,\,\,\, 10001

 

QUESTION 2 [1 mark]

Work out 600+1200÷300600+1200\div300

 

Answer type: Simple text answer

ANSWER: 604

WORKING:

600+1200÷300600 + 1200 \div300

 

600+4=604600 + 4 = 604

 

QUESTION 3 [1 mark]

What is 3030 as a fraction of 360360? Give your answer in its simplest form.

 

Answer type: Fraction

ANSWER: 112\dfrac{1}{12}

 

QUESTION 4 [1 mark]

Work out 7+42×37+4^2\times3

 

Answer type: Simple text answer

ANSWER: 55

WORKING:

7+42×3=7+16×3=7+48=557 + 4^2 \times3 = 7 +16 \times3 = 7 + 48 = 55

 

QUESTION 5 [1 mark]

Describe the nature of the correlation shown in the scatter graph.

 

Answer type: Multiple choice type 1

A: No correlation

B: Strong positive correlation

C: Strong negative correlation

D: Weak positive correlation

 

ANSWER: A

 

QUESTION 6 [1 mark]

Choose the correct plan of the 3D shape.

 

Answer type: Multiple choice type 1

A:  B:  C:   D: 

 

ANSWER: A

 

 

 

QUESTION 7 [1 mark]

Here are the ages of 99 children at a birthday party.

99, 1010, 1212, 1313, 1010, 1111, 1414, 1010, 1212

Find the mode.

 

Answer type: Simple text answer

ANSWER: 10

WORKING:

The mode is the age that appears the most in the data set. Thus, the answer is 10.

 

QUESTION 8 [1 mark]

Calculate 5.402−3.2155.402-3.215

 

Answer type: Simple text answer

ANSWER: 2.187

 

QUESTION 9 [1 mark]

What is 1.51.5 hours equivalent to in seconds?

 

Answer type: Simple text answer

ANSWER: 5400 seconds

WORKING:

1.51.5 hours in minutes =1.5×60=90= 1.5\times60 = 90 minutes

90 minutes in seconds =90×60=5400=90 \times 60 = 5400 seconds

 

QUESTION 10 [1 mark]

What is 2.5%2.5\% of 140140 g?

 

Answer type: Simple text answer

ANSWER: 3.5 g

WORKING:

2.5%=0.025 as a decimal2.5\% = 0.025 \text{ as a decimal}

 

140×0.025=3.5g140\times0.025=3.5 \text{g}

 

QUESTION 11 [1 mark]

What 3D shape can be created with the net shown?

 

Answer type: Multiple choice type 1

A: Cube

B: Triangular prism

C: Frustum

D: Square based pyramid

 

ANSWER: A

 

QUESTION 12 [1 mark]

What is 57−13 \dfrac{5}{7}-\dfrac{1}{3}?

 

Answer type:  Fraction

ANSWER: 821\dfrac{8}{21}

WORKING:

57−13=(5×3)−(1×7)7×3=15−721=821 \dfrac{5}{7}-\dfrac{1}{3} = \dfrac{(5\times3)-(1\times7)}{7\times3} = \dfrac{15-7}{21} = \dfrac{8}{21}

 

 

QUESTION 13 [1 mark]

The mean of 33 numbers is the same as the median.

The range of the numbers is also the same as the median.

The largest of the numbers is 99

What are the other 22 numbers?

 

Answer type: Multiple answers TYPE 2

ANSWER:

Number 1 = 3

Number 2 = 6

WORKING:

To work out the range we subtract the smallest number away from the largest. 9−3=69-3=6

The median of a set of numbers, is the middle number when the numbers are ordered from smallest to largest.

3,6,93, 6, 9 So the median is 6.

To find the mean, we add up all the numbers and divide them by the number of numbers.

3+6+93=6\dfrac{3+6+9}{3} = 6

 

QUESTION 14 [1 mark]

How long would it take you to travel 33 kilometres, if you walked at 66 km/h?

Give your answer in minutes.

 

Answer type: Simple text answer

ANSWER: 30 minutes

WORKING:

Time = Distance ÷\div Speed = 3÷6=0.53 \div 6=0.5 hours = 30 = \, 30 minutes

 

QUESTION 15 [1 mark]

Choose the correct plot of the coordinate (6,8)(6,8) on the graph below.

 

Answer type: Multiple choice type 1

A:  B:  C:  D: 

 

ANSWER: A

 

 

PAPER 2B

 

 

QUESTION 1 [1 mark]

What is the number in the tens position in 825.217825.217?

 

Answer type: Simple text answer

ANSWER: 2

 

QUESTION 2 [1 mark]

What is 4800048000 cm equivalent to in km?

 

Answer type: Multiple choice type 1

A: 0.480.48 km

B: 4.84.8 km

C: 0.0480.048 km

D: 4848 km

 

ANSWER: A

WORKING:

48000 cm=480 m=0.48 km48000\text{ cm} = 480 \text{ m} = 0.48 \text{ km}

QUESTION 3 [1 mark]

What is 18%18\% of £25000£25000?

 

Answer type: Simple text answer

ANSWER: £4500

WORKING:

25000×0.18=450025000 \times 0.18 = 4500

 

QUESTION 4 [2 marks]

Find the missing angle labelled AA

 

Answer type: Simple text answer

ANSWER: 92 °\degree

WORKING:

Angles in a triangle add up to 180°180\degree

 

180°−(41°+47°)=180°−88°=92°180\degree - (41\degree + 47\degree) = 180\degree - 88\degree = 92\degree

QUESTION 5 [2 marks]

Calculate (y2−2y)×5y(y^2 - 2y) \times 5y when y=3y = 3

 

Answer type: Simple text answer

ANSWER:  45

WORKING :

(32−(2×3))×(5×3)=(9−6)×15=45(3^2 -(2\times3)) \times (5\times3) = (9-6)\times15 = 45

QUESTION 6 [3 marks]

Megan is a florist.

She is arranging flowers for a display and has 1616 roses, 88 daffodils and 1313 tulips.

What is the probability of Megan randomly selecting a tulip to add to the display next?

Give your answer to three decimal places.

 

Answer type: Simple text answer

ANSWER: 0.351

WORKING:

1316+8+13=0.351\dfrac{13}{16+8+13} = 0.351

 

QUESTION 7 [2 marks]

The diagram shows the location of several towns.

Using the diagram, find the distance of Town A from town J.

 

Answer type: Simple text answer

ANSWER: 40 km

 

QUESTION 8 [6 marks]

Three shops sell three different sized bottles of water.

Amazer shop sells water in 11 L bottles

Best-Value sells water in 5050 cl bottles

Cheapest Buy sells 750750 ml bottles of water

Using the three statements above, work out who got the cheapest water per millilitre.

 

Answer type: Multiple choice type 1

A: Jack

B: Sophie

C: Kabira

 

ANSWER: A

WORKING:

Jack: 4A+5B+9C=8.964A + 5B +9C = 8.96

(4×1)+(5×0.5)+(9×0.750)=13.25(4 \times 1) + (5 \times 0.5) + (9 \times 0.750) = 13.25 litres

8.9613.25=£0.676\dfrac{8.96}{13.25} = £0.676 per litre

 

Sophie: 8A+10B=8.928A + 10B = 8.92

(8×1)+(10×0.5)=13(8 \times 1) + (10 \times 0.5) = 13 litres

8.9213=£0.686\dfrac{8.92}{13} = £0.686 per litre

 

Kabiria: 9A+9B+5C=11.779A + 9B + 5C = 11.77

(9×1)+(9×0.5)+(5×0.750)=17.25(9 \times 1) + (9 \times 0.5) + (5 \times 0.750) = 17.25 litres

11.7717.25=£0.682\dfrac{11.77}{17.25} = £0.682 per litre

 

Jack bought the cheapest water per millilitre.

 

QUESTION 9 [5 marks]

The diagram below shows a sphere.

The radius of the sphere is 55 cm.

Using the equation A=4πr2A= 4\pi r^2, where rr is the radius of the sphere and π=3.14\pi = 3.14, calculate the surface area, AA, of the sphere.

 

Answer type: Simple text answer

ANSWER: 314 cm2^2

WORKING:

4×3.14×52=3144\times 3.14 \times 5^2= 314 cm2^2

 

QUESTION 10 [3 marks]

The population of a town of 120000120000 people increases by 5%5 \% each year.

Calculate the population of the town after 22 years.

 

Answer type: Simple text answer

ANSWER: 132300

WORKING:

Year 1: 120000×1.05=126000120000 \times 1.05 = 126000

Year 2: 126000×1.05=132300126000 \times 1.05 = 132300

 

QUESTION 11 [3 marks]

Sarah has a box of 2020 sweets. 88 are strawberry flavour, 77 are fizzy cola flavour and the rest are blueberry flavour.

What is the probability of Sarah randomly selecting a blueberry flavour sweet from the box?

Give your answer as a fraction in its simplest form.

 

Answer type: Fraction

ANSWER: 14\dfrac{1}{4}

WORKING:

The number of blueberry sweets = 20−8−7=520 - 8 - 7 = 5

520=14\dfrac{5}{20} = \dfrac{1}{4}

 

QUESTION 12 [4 marks]

2323 boys and 2222 girls take a maths test.

The mean mark for the boys was 4444. The mean mark for the girls was 4242.

Find the mean mark for all 4545 students.

Give your answer to 11 decimal place.

 

Answer type: Simple text answer

ANSWER: 43.0

WORKING:

Total marks for boys =1012= 1012

Total mark for girls =924= 924

Mean =(1012+924)÷45=1936÷45=43.0= (1012 + 924) \div 45 = 1936 \div 45 = 43.0

 

QUESTION 13 [3 marks]

It takes 2222 hours for a hosepipe with a flow of 1212 litres per minute to fill a swimming pool.

How long will it take if its flow is reduced to 55 litres per minute?

 

Answer type: Multiple choice type 1

A: 52.852.8 hours

B: 633.6633.6 hours

C: 31683168 hours

D: 0.880.88 hours

 

ANSWER: A

WORKING:

2222 hrs × 720\times \, 720 litres per hr = 15840= \, 15840 litres needed

1584015840 litres ÷ 300\div \, 300 litres per hr = 52.8= \, 52.8 hrs

 

QUESTION 14 [4 marks]

Last year Robert had two jobs. Robert worked:

in an office for 1010 months and earned £1500£1500 per month,

at a café for 1515 weekends and earned £50£50 per weekend.

What fraction of his total income last year came from his work at the café?

Write the fraction in its simplest form.

 

Answer type: Fraction

ANSWER:  121\dfrac{1}{21}

WORKING:

Amount earned from working in the office:  10×£1500=£1500010\times\text{£}1500 = \text{£}15000

Amount earned from the café: 15×£50=£75015\times\text{£}50 = \text{£}750

Total income =£15750= £15750

75015750=121\dfrac{750}{15750} = \dfrac{1}{21}

 

 

QUESTION 15

The table gives information about the types of drinks sold at a local cafe over the weekend.

 

Question 15(a) [3 marks]

Find the values of a,b,c,da, b, c, d and ee from the two-way table above.

 

Answer type: Multiple answers type 1

ANSWER:

a = 105

b = 209

c = 82

d = 186

e = 387

 

WORKING:

 

 

 

Question 15(b) [2 marks]

Find the probability that a customer both enters the café on a Saturday and orders a coffee to 22 decimal places.

 

Answer type: Simple text answer

ANSWER: 0.27

WORKING:

P(Coffee on Saturday) =104387=0.27= \dfrac{104}{387}= 0.27