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Skills Test 1 Course: ________________________

Name:

Marks: 60 Marks ( 1 Hour )

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Q1.Drinks

A café sells small, medium and large drinks.

The table shows the number of drinks the café sold on one day.

Coffee Tea Chocolate

Small 110 14 24

Medium 121 103 42

Large 90 64 58

(a) Altogether, how many chocolate drinks were sold?

…………….2 marks

(b) A small tea costs 50p.

Altogether, how much was spent on small teas?

£

1 mark

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Q2.(a) In the number 4378, the figure 7 represents 7 tens.

What does the figure 3 represent?

......................... 1 mark

What does the figure 4 represent?

.........................1 mark

(b) Write in figures the number twenty thousand and twenty.

.........................1 mark

Q3.Which number?

(a) Which number is closer to 100?

Put a ring round it.

68 133

Explain how you know.

1 mark

(b) Which number is closest to 10?


–5 16 –9 01 mark

(c) Which number is closest to 1?


1.4 1.35 0 1.651 mark

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Q4.Populations

The table shows the approximate populations of five different places.

Place Approximate population

London 7 000 000

Sheffield 700 000

Harrogate 70 000

Ash Vale 7 000

Binbrook 700

(a) Which of the places has a population of about seventy thousand?

...............................1 mark

(b) Use the table to complete these sentences.

The population of Harrogate is about 10 times as big as

the population of ...............................

The population of ............................... is about 100 times as big as

the population of Harrogate.

The population of Sheffield is about .................. times as big as

the population of Ash Vale.2 mark

Q5.Number line

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Look at the number line below.

Write the missing number in the box.

1 mark

Q6.UK population

In 2005, about 60.2 million people lived in the UK.

Look at the information about these people.

■ 50.4 million lived in England.

■ 5.1 million lived in Scotland.

■ 3 million lived in Wales.

■ The rest lived in Northern Ireland.

(a) In 2005, about how many people lived in Northern Ireland?

million

1 mark

Q7.Fill in a negative number to make the inequality correct.

1 mark

Q8. Write the correct sign >, < or = in each of the following.

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(10 + 5) – 9 (10 + 9) – 5

3 × (4 + 5) (3 × 4) + 5

(10 × 4) ÷ 2 10 × (4 ÷ 2)2 marks

Q9.Making ten

Write two numbers that add to 10

One of the numbers must be positive.

The other number must be negative.

1 mark

Q10.Rounding

A school raised £1758 for charity.

A newspaper wrote:

School raises nearly £1800 for charity

Write the missing number in this sentence.

The newspaper rounded £1758 to the nearest ........................................................1 mark

Q11.6 ≤ 2n < 14

List the possible integer values of n.

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___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

Answer _____________________________3 marks

Q12.Complete the following sentences.

(a) 4 is the square of _______________________1 mark

(b) 4 is the square root of _______________________1 mark

(c) 4 is the cube root of _______________________1 mark

Q13 A square number and a prime number have a total of 22

What are the two numbers?

square number prime number1 mark

Q14.(a) The planet Jupiter is approximately 780 million km from the Sun.

Write this number in standard form. ................. km 1 mark

Q15.Populations

The table shows information about some countries.

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Country Population Area (km2)

Canada 3.1 × 107 1.0 × 107

France 6.0 × 107 5.5 × 105

Gambia 1.4 × 106 1.1 × 104

India 1.0 × 109 3.3 × 106

United Kingdom 6.0 × 107 2.4 × 105

United States 2.8 × 108 9.3 × 105

(a) Use the table to fill in the gaps:

The country with the largest population is ....................................................1 mark

The country with the smallest area is ...........................................................1 mark

(b) On average, how many more people per km2 are there in the United Kingdom than in the United States?

3 marks

Q16. Put these values in order with the smallest first

52 32 33 23

smallest largest1 mark

Q17.Square root

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(a) Explain why must be between 9 and 10.

1 mark

(b) is also between two consecutive whole numbers.

What are the two numbers?

...................... and ......................1 mark

Q18.Write down all the numbers which are

multiples of 3

and

factors of 45

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

Answer ______________________________3 marks

Q19.Booklets

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(a) A teacher needs 220 booklets. The booklets are in packs of 16.

How many packs must the teacher order?

Show your working.

..................... packs

2 marks

(b) Each booklet weighs 48g.

How much do the 220 booklets weigh altogether?Show your working. Give your answer in kg.

.......................... kg3 marks

Q20.Museum

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(a) 240 people paid the entrance fee on Monday.

How much money is that altogether?Show your working.

£

2 marks

(b) The museum took £600 in entrance fees on Friday.

How many people paid to visit the museum on Friday?Show your working.

................... people2 marks

Q21.Multiple and factor

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(a) A three-digit number is a multiple of 4

What could the number be?

Give an example.

.................... 1 mark

Now give a different example.

....................1 mark

(b) A two-digit number is a factor of 100

What could the number be?

Give an example.

....................1 mark

Now give a different example.

....................1 mark

Q22.

(a) Work out

______________________________________________________________

Answer _____________________________1 mark

(b) Put brackets in this calculation to make it correct.

1 mark

Q23.(a) Emma works out 40 − 10 ÷ 2

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Her answer is 15

The correct answer is 35

Explain the mistake that Emma has made.

______________________________________________________________

______________________________________________________________

______________________________________________________________1 mark

(b) Put +, −, × or ÷ in each of the following to make them true.

______________________________________________________________

______________________________________________________________1 mark

______________________________________________________________

______________________________________________________________1 mark

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Q24.70 written as the product of prime factors is 2 × 5 × 7

(a) Write 84 as the product of prime factors.

______________________________________________________________

______________________________________________________________

______________________________________________________________

______________________________________________________________

Answer _____________________________2 marks

(b) Work out the highest common factor (HCF) of 84 and 70

______________________________________________________________

______________________________________________________________

______________________________________________________________

Answer _____________________________1 mark

(c) Work out the least common multiple (LCM) of 84 and 70

______________________________________________________________

______________________________________________________________

______________________________________________________________

Answer _____________________________1 mark

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