ks3 ap starter test theta delta

THETA – DELTAKS3 Maths Progress Starter Test

1. Jim buys 5 pens.

Each pen costs 30p.

Jim pays with a £5 note.

Work out the change from £5

£.................................

(2 marks)

2. At midnight the temperature in a garden was −2 °C.

By noon the temperature had risen by 9 °C.

Work out the temperature at noon.

...............................°C (1 mark)

3. The pictogram gives information about the number of televisions sold from a shop in each of the

first 3 weeks in May.

a Write down the number of televisions sold from the shop in Week 3.

...................................

b The shop sold 24 televisions in Week 4. Draw the symbols to show this on the pictogram.

c How many televisions did the shop sell altogether in this 4-week period?

...................................

(3 marks)

4. Here is a number machine:

a Work out the output when the input is 5

...................................

b Work out the input when the output is 36

...................................

(2 marks)

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5. Shelley sat 4 maths tests.

Each test was out of 10.

Her marks were: 9 7 8 4

Work out the mean of these marks.

...................................

(1 mark)

6. Here is a rectangle.

a Work out the perimeter.

...............................cm (1 mark)

b Work out the area of the rectangle.

..............................cm2

(1 mark)

7. Work out:

a 23 × 4

...................................

b 23 × 28

...................................

(2 marks)

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8. ABC is a straight line.

a Work out the value of t.

..................................° (1 mark)

b Work out the value of x.

..................................° (1 mark)

9. Shade one more square to make a pattern with exactly 1 line of symmetry.

(1 mark)

10. The pie chart gives information about people’s favourite snacks.

The number of people who said 'Chocolate' is the

same as the number of people who said 'Crisps'.

Work out the percentage who said 'Chocolate'.

.................................% (2 marks)



11. Alice has 86 bottles to put into crates.

Each crate holds 6 bottles.

Every bottle must be put in a crate.

How many crates does Alice need?

...................................

(2 marks)

12. Work out:

a (2 + 3) × 4

...................................

b 6 + 5 × 7

...................................

(2 marks)

13. Lessons finish at Ally's school at 3 15 pm.

Ally takes 5 minutes to walk to chess club after lessons finish.

Chess club lasts of an hour.

It then takes him 20 minutes to get home.

Work out the time that Ally gets home.

..............................pm

(2 marks)

14. John makes metal letters to sell.

The diagram shows a grid with letters on that spell the name Zo.

John charges £10 for a name plus £2.50 for each square centimetre of letter.

Work out the total cost of the name Zo.

£.................................

(2 marks)

15. k is a whole number.

Four times k is 3 more than 21

What is the value of two times k?

...................................



(2 marks)

16. In 2014, the price of a car was £9000

In 2015, the price increased by 5%

Work out the increase in price.

...................................

(1 mark)

17. Here is a cuboid.

Work out the volume of the cuboid.

..............................cm3

(2 marks)

18. Unber makes pink paint by mixing 3 pots of red paint with 4 pots of white paint.

Each pot contains 1 litre.

Unber needs to make 14 litres of pink paint.

Work out how many litres of red paint she will need.

.............................litres(1 mark)

19. Work out:

...................................



(2 marks)

20. a Triangle PQR is equilateral.

Work out the size of angle x.

..................................°(1 mark)

b Triangle ABC is isosceles.

Work out the size of the angle y.

..................................° (1 mark)

21. The total surface area of a cube is 150 cm2.

a Work out the area of one face.

..............................cm2

(1 mark)

b Work out the total length of all the edges of the cube.



...............................cm (2 marks)

22. 0.04 x 70 = 2.8

What is 0.4 x 0.07?

...................................

(1 mark)

23. In an election, Shan got 126 votes.

Shan got 60% of the total votes in the election.

Work out the total number of votes.

...................................

(2 marks)

24.

A, B and C are three blocks.

The mass of B is twice the mass of A.

The mass of C is twice the mass of B.

The total mass of all three blocks is 25.2 kg.

Work out the mass of A.

...............................kg

(2 marks)



25. Gemma uses 150 g of butter to make 12 rock cakes.

a How much butter will she need to make 30 rock cakes?

.................................g

(2 marks)

Ben has 175 g of butter.

b How many rock cakes could Ben make?

...................................

(1 mark)

26. x = 2y

y = 3t

Which one of the following is true?

x = 2y + 3t x = 5t x = 6 + t x = 6yt x = y + 3t

...................................

(1 mark)

27. Write down a number between 20 and 30 that has exactly 4 different factors.

For your number, write down the two factors which are prime numbers.

Number...................................

Prime factors...................................

(2 marks)

TOTAL FOR TEST: 50 MARKS


ks3 ap starter test theta delta

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