PAPER 8

PAPER 8A

 

(Q1) QUESTION 1 [1 mark]

What is value of the 22 in the number 0.1620.162 in words?

 

Answer type: Multiple choice type 1

A: Two thousandths

B: Two tenths

C: Two thousand

D: Two hundredths

 

ANSWER: A

 

(Q2) QUESTION 2 [1 mark]

What is the decimal equivalent to 1.5%1.5\% ?

 

Answer type: Simple text answer

ANSWER: 0.015

 

(Q3) QUESTION 3 [1 mark]

What is 14\dfrac{1}{4} as a percentage?

 

Answer type: Simple text answer

ANSWER: 25 %\%

 

(Q4) QUESTION 5 [1 mark]

Given that 28×1356=3796828\times1356= 37968

Calculate the following: 2.8×1.3562.8 \times 1.356

 

Answer type: Simple text answer

ANSWER: 3.7968

 

(Q5) QUESTION 6 [2 marks]

Iron has a density of 7.87.8 g/cm3^3

Calculate the mass of a 33 cm3^3 lump of iron.

 

Answer type: Simple text answer

ANSWER: 23.4 g

WORKING:

Mass=Density×Volume=(7.8\text{Mass}=\text{Density} \times \text{Volume}= (7.8 g/cm3)×(3^3) \times (3 cm3)=23.4^3) =23.4 g

 

(Q6) QUESTION 7 [1 mark]

What is 0.50.5 km equivalent to in mm?

 

Answer type: Multiple choice type 1

A: 500000500000 mm

B: 50000005000000 mm

C: 5000050000 mm

D: 50005000 mm

 

ANSWER: A

WORKING:

0.5 km=500 m=50000 cm=500000 mm0.5\text{ km} = 500\text{ m}=50000\text{ cm}=500000\text{ mm}

(Q7) QUESTION 8 [1 mark]

What 3D shape can be created with the net?

 

Answer type: Multiple choice type 1

A: Cone

B: Cylinder

C: Sphere

D: Tetrahedron

 

ANSWER: A

 

(Q8) QUESTION 9 [1 mark]

What is 70%70\% of 12501250 ml?

 

Answer type: Simple text answer

ANSWER: 875 ml

 

(Q9) QUESTION 10 [1 mark]

Find the missing angle labelled AA

 

Answer type: Simple text answer

ANSWER: 51 °\degree

WORKING:

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

180°−54°−75°=51°180\degree-54\degree-75\degree=51\degree

(Q10) QUESTION 11 [1 mark]

Calculate the following: (4+22)2−2(4+2^2)^2-2

 

Answer type: Simple text answer

ANSWER: 62

WORKING:

(4+22)2−2=(4+4)2−2=82−2=62(4+2^2)^2-2=(4+4)^2-2=8^2-2=62

(Q11) QUESTION 12 [1 mark]

Evaluate: 25.8−17.8525.8-17.85

 

Answer type: Simple text answer

ANSWER: 7.95

 

(Q12) QUESTION 13 [1 mark]

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

 

Answer type: Multiple choice type 1

A: Strong positive correlation

B: Strong negative correlation

C: Weak positive correlation

D: Weak negative correlation

 

ANSWER: A

 

(Q13) QUESTION 14 [1 mark]

What is the value of

bd−4acbd-4ac

when a=5a=5, b=8b=8, c=−1c=-1 and d=2d=2 ?

 

Answer type: Simple text answer

ANSWER: 36

WORKING:

bd−4ac=8×2−4×5×−1=16+20bd - 4ac = 8\times2-4\times5\times-1=16+20

(Q14) QUESTION 15 [1 mark]

Here are six numbers:

0.42,    36,    39,    −1.27,    0.55,    2100.42, \,\,\,\, \dfrac{3}{6}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, -1.27, \,\,\,\, 0.55, \,\,\,\, \dfrac{2}{10}

Order the numbers from least to most.

 

Answer type: Multiple choice type 1

A: −1.27,210,    39,    0.42,    36,    0.55-1.27, \dfrac{2}{10}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, 0.42, \,\,\,\, \dfrac{3}{6}, \,\,\,\, 0.55

B: −1.27,210,    39,    36,    0.42,    0.55-1.27, \dfrac{2}{10}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, \dfrac{3}{6}, \,\,\,\, 0.42, \,\,\,\, 0.55

C: 210,    39,    0.42,    36,    0.55,    −1.27\dfrac{2}{10}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, 0.42, \,\,\,\, \dfrac{3}{6}, \,\,\,\, 0.55, \,\,\,\, -1.27

D: 0.55,36,    0.42,    39,    210,    −1.270.55, \dfrac{3}{6}, \,\,\,\, 0.42, \,\,\,\, \dfrac{3}{9}, \,\,\,\, \dfrac{2}{10}, \,\,\,\, -1.27

 

ANSWER: A

 

 

 

 

PAPER 8B

 

QUESTION 1 [1 mark]

Fifty students were asked how many books they each took to school on Monday.

The results are summarized in the table below.

What is the mode?

 

Answer type: Simple text answer

ANSWER: 1 book

 

QUESTION 2 [2 marks]

An extra large lemonade contains 10%10\% more than a normal bottle.

The extra large bottle contains 660660 ml.

How much does the normal bottle contain?

 

Answer type: Simple text answer

ANSWER: 600 ml

WORKING:

660660 ml ÷1.10=600\div 1.10 = 600 ml

 

QUESTION 3 [1 mark]

What is 17\dfrac{1}{7} of 44 weeks?

Give your answer in days.

 

Answer type: Simple text answer

ANSWER: 4 days

WORKING:

44 weeks = 2828 days

287=4\dfrac{28}{7}=4 days

QUESTION 4 [1 mark]

Choose the correct plot of the coordinate (1,9)(1,9) on the graph below.

 

Answer type: Multiple choice type 1

A:

B:

C:

D:

 

ANSWER: A

 

QUESTION 5 [1 mark]

Write the numbers in increasing order starting with the smallest.

−8,    0,    3,    −5,    −11-8,\,\,\,\, 0,\,\,\,\, 3, \,\,\,\, -5, \,\,\,\, -11

 

Answer type: Multiple choice type 1

A: −11,    −8,    −5,    0,    3-11,\,\,\,\, -8,\,\,\,\, -5, \,\,\,\, 0, \,\,\,\, 3

B: −5,    −8,    −11,    0,    3-5,\,\,\,\, -8,\,\,\,\, -11, \,\,\,\, 0, \,\,\,\, 3

C: 0,    3,    −5,    −8,    −110,\,\,\,\, 3,\,\,\,\, -5, \,\,\,\, -8, \,\,\,\, -11

D: 3,    0,    −5,    −8,    −113,\,\,\,\, 0,\,\,\,\, -5, \,\,\,\, -8, \,\,\,\, -11

 

QUESTION 6 [4 marks]

Sarah has started reading a new book.

On Saturday she reads 215\dfrac{2}{15} of the book.

On Sunday she reads a further 13\dfrac{1}{3} of the total number of pages in the book.

On Monday she reads another 15\dfrac{1}{5} of the total number of pages in the book.

On Tuesday she finishes the book.

What fraction of the book did she read on Tuesday?

Write your answer in its simplest form.

 

Answer type: Fraction

ANSWER: 13\dfrac{1}{3}

WORKING:

215+13+15=215+(13×55)+(15×33) \dfrac{2}{15}+\dfrac{1}{3} + \dfrac{1}{5}= \dfrac{2}{15}+ \bigg(\dfrac{1}{3} \times \dfrac{5}{5} \bigg) + \bigg(\dfrac{1}{5}\times \dfrac{3}{3} \bigg)

215+515+315=1015\dfrac{2}{15}+\dfrac{5}{15}+\dfrac{3}{15}=\dfrac{10}{15}

1−1015=131-\dfrac{10}{15}=\dfrac{1}{3}

QUESTION 7 [6 marks]

The diagram below shows a rectangle with a section missing.

Work out the perimeter of the shape.

 

Answer type: Simple text answer

ANSWER: 630 cm

WORKING:

120−55=65120-55=65 cm

195−70=125195-70=125 cm

Perimeter =120+70+65+125+55+195=630=120+70+65+125+55+195=630 cm

 

QUESTION 8 [6 marks]

Jordan finishes college at 16:3016:30 h.

He walks to his mum’s work 0.240.24 km away, at a speed of 22 km/h.

He waits there 77 minutes for his mum to finish work before she drives them both 77 km back home at an average speed of 2626 km/h.

What time does Jordan arrive home?

 

Answer type: Multiple choice type 1

A: 17:0017:00

B: 16:5616:56

C: 17:0717:07

D: 16:5316:53

 

ANSWER: A

WORKING:

Walk: T=DS=0.242=0.12\text{T} = \dfrac{\text{D}}{\text{S}} = \dfrac{0.24}{2} = 0.12 hours = 7= \, 7 minutes

Driving: 726=0.2692\dfrac{7}{26} = 0.2692 hours = 16= \, 16 minutes

Total: 7+7+16=307 + 7 + 16 = 30 minutes

Adding to 16:3016:30 gives an arrival time of 17:0017:00

 

QUESTION 9 [3 marks]

Rachel deposits £2200£2200 into a savings account that pays 1.5%1.5\% compound interest per year.

How much is in the saving account after 22 years?

Give your answer in pounds, to two decimal places.

 

Answer type: Simple text answer

ANSWER: £2266.50

WORKING:

Year 1: £2200×1.105=£2233£2200 \times 1.105 = £2233

Year 2: £2233×1.015=£2266.50£2233 \times 1.015 = £2266.50

 

QUESTION 10

A high street shop records the number of days it rains in a month and the number of umbrellas they sell.

 

Question 10(a) [2 marks]

A scatter graph is plotted to show the relationship between the number of rainy days in a month and the number of umbrellas sold.

Choose the correct plot.

 

Answer type: Multiple choice type 1

A:

B:

C:

D:

 

ANSWER: A

 

 

Question 10(b) [2 marks]

Use the graph to estimate the number of whole umbrellas they will sell if it rains for 1010 days in a month.

 

Answer type: Simple text answer

ANSWER: 8

 

QUESTION 11 [4 marks]

Some numbered raffle tickets are placed in a hat.

The tickets are numbered 11 to 5050 inclusive.

A ticket is selected at random.

Calculate the probability that the ticket is a factor of 4848

 

Answer type: Fraction

ANSWER: 15\dfrac{1}{5}

WORKING:

The factors of 4848 are:

11 and 4848, 22 and 2424, 33 and 1616, 44 and 1212, 66 and 88

This means that 1010 numbers out of the 5050 in the hat are factors of 4848

The probability that the ticket is a factor of 4848 is 1050\dfrac{10}{50} which can be simplified to 15\dfrac{1}{5}

 

QUESTION 12 [6 marks]

A castle under siege has enough food for 300300 men for 9090 days.

After 4040 days, 150150 men have left the castle.

How long would the food last at the same rate?

 

Answer type: Simple text answer

ANSWER: 100 days

WORKING:

300300 men × 90\times \, 90 days of food = 27000= \, 27000 days worth of food for one person

300300 men × 40\times \, 40 days of food = 12000= \, 12000 days worth of food for one person used

1500015000 days of food ÷ 150\div \, 150 men = 100= \, 100 days worth of food left

 

QUESTION 13 [2 marks]

A business wants to increase its number of employees by 65%65\% to 2046020460

How many employees does the company currently have?

 

Answer type: Simple text answer

ANSWER: 12400

WORKING:

20460÷1.65=1240020460 \div 1.65 = 12400

 

QUESTION 14 [2 marks]

The diagram shows the locations of several Towns.

Using the diagram, find the distance of Town B from Town I.

 

Answer type: Simple text answer

ANSWER: 30 km

 

QUESTION 15 [2 marks]

A bag of garden stones weighs 2020 kg

Given that each individual stone weighs 0.010.01 kg, work out how many stones are in a bag.

 

Answer type: Simple text answer

ANSWER: 2000

WORKING:

20÷0.01=200020 \div 0.01 = 2000 stones