Week commencing

Mathswatch homework Exam questions

9th September Complete the interactive questions set on mathswatch. BIDMAS Rounding If you struggle to answer any of the questions, you will need to watch the video clip.

Rounding – decimal places

16th September

Complete the interactive questions set on mathswatch. Decimals HCF and LCM If you struggle to answer any of the questions, you will need to watch the video clip.

Multiples and factors

23rd September

Complete the interactive questions set on mathswatch. Simplifying If you struggle to answer any of the questions, you will need to watch the video clip.

Pre-test revision homework. You will be given this in class

30th September

Complete the interactive questions set on mathswatch. Laws of indices If you struggle to answer any of the questions, you will need to watch the video clip.

Basic algebra

7th October Complete the interactive questions set on mathswatch. Expanding brackets Factorising If you struggle to answer any of the questions, you will need to watch the video clip.

Basic algebra 2

14th October Complete the interactive questions set on mathswatch. Substitution If you struggle to answer any of the questions, you will need to watch the video clip.

Basic algebra 3

Rounding Topic Test 1 - Decimal places

1 (a) Round 7.24 to 1 decimal place.

[1 mark]

Answer

1 (b) Round 4.371 to 1 decimal place.

[1 mark]

Answer 1 (c) Round 13.4498 to 1 decimal place.

[1 mark]

Answer 2 (a) Round 3.789 to 2 decimal places.

[1 mark]

Answer

2 (b) Round 0.0481 to 2 decimal places.

[1 mark]

Answer

2 (c) Round 25.3047 to 2 decimal places.

[1 mark]

Answer

3 (a) Round 1.2345 to 3 decimal places.

[1 mark]

Answer

3 (b) Round 0.03062 to 3 decimal places.

[1 mark]

Answer

3 (c) Round 2.5996 to 3 decimal places.

[1 mark]

Answer

4 (a) Calculate

Write your answer to 1 decimal place.

[1 mark]

Answer

4 (b) Calculate

Write your answer to 1 decimal place.

[1 mark]

Answer

4 (c) Calculate

Write your answer to 1 decimal place.

[1 mark]

Answer

5 (a) Calculate

Write your answer to 4 decimal places.

[1 mark]

Answer

5 (b) Calculate

Write your answer to 4 decimal places.

[1 mark]

Answer

5 (c) Calculate

Write your answer to 4 decimal places.

[1 mark]

Answer

5 (d) Calculate

Write your answer to 4 decimal places.

[1 mark]

Answer

5 (e) Calculate

Write your answer to 4 decimal places.

[1 mark]

Answer

5 (f) Calculate

Write your answer to 4 decimal places.

[1 mark]

Answer

Topic Test 1 (20 minutes) Factors and multiples - Foundation

1 Circle the number that is both a multiple of 3 and a multiple of 5

[1 mark]

10 25 27 30 35

2 Circle the number that is a prime factor of 189

[1 mark]

7 9 13 17 189

3 Burgers are sold in packs of 6

Buns are sold in packs of 10

Liam wants to buy the same number of burgers and buns.

Work out the smallest number of packs of each items he could buy.

[3 marks]

packs of burgers

packs of buns

4 Here is a menu.

Starter

Soup (S)

Melon (M)

Juice (J)

Main

Curry (C)

Roast (R)

Pasta (P)

Dessert

Ice cream (I)

Fruit (F)

4 (a) Beth chooses a starter and a main.

List all the possible combinations she could choose.

The first one has been done for you.

[2 marks]

SC

4 (b) Chen chooses a main and a dessert.

How many more possible combinations can Beth have than Chen?

[2 marks]

5 Mo says,

“ Any common multiple of 2 and 4 is also always a multiple of 8”

Give an example to show that Mo is incorrect.

[1 mark]

6 a, b and c are different prime numbers.

Work out a set of values for a, b and c so that a + b = 2c

[2 marks]

a = b = c =

7 A number is

an odd multiple of 3

a common factor of 180 and 750 Work out the greatest possible value of the number.

[3 marks]

8 x = 32 × 5 y = 2 × 52

Circle the lowest common multiple of x and y.

[1 mark]

5 30 450 2250

9 (a) Write 280 as a product of its prime factors.

[2 marks]

9 (b) 588 = 22 × 3 × 72

Work out the highest common factor of 280 and 588

[2 marks]

Topic Test 3 (20 minutes) Basic algebra - Foundation

1 Work out the value of 24 + 4 32

[1 mark]

2 (a) Simplify 6 2 d d e

[1 mark]

2 (b) Write as a single fraction in its simplest form (5 g g g) (8 h h)

[2 marks]

3 Match each card on the left with a card on the right.

The first one is done for you.

[2 marks]

Add 1 then double the answer

Double n

5 more than n

5 less than n

n squared

Double n then add 1

2n + 1

n - 5

2(n + 1)

n + 5

2n

n2

4 Andrew pays £p for his phone.

Liz pays 3 times as much as Andrew.

Laura pays £20 less than Liz.

Write an expression for the total they pay.

Simplify your answer.

[3 marks]

5 Factorise fully each of the following expressions

5 (a) 20a + 16

[1 mark]

5 (b) 30b – 45

[1 mark]

5 (c) 16c3 + 24c

[2 marks]

5 (d) 18d3e 27d5e

[2 marks]

Topic Test 1 (20 minutes) Basic algebra - Foundation

1 Work out the value of 35 – 3 9

[1 mark]

2 Insert brackets to make the calculation correct 100 – 4 + 32 = 51

[1 mark]

3 Put these in order of size, starting with the smallest.

You must show your working.

[3 marks]

3 + 62 – 10 20 – (2 + 3)2 15 – 54 ÷ 33

4 (a) Simplify a + a + a + a + a + a

[1 mark]

4 (b) Simplify 7 b c

[1 mark]

4 (c) Simplify 12 d d d

[1 mark]

4 (d) Write as a single fraction in its simplest form (5 m m) (8 n)

[1 mark]

4 (e) Write as a single fraction in its simplest form (4 n n 5) (2 m 7)

[2 marks]

5 Circle the expression that describes 20 more than x .

[1 mark]

20 > x x + 20 20x x – 20

6 1 kilogram of bananas costs 87p

Write down an expression for the cost of b kilograms of bananas.

[1 mark]

7 Which of these can be written as 16a2b?

Circle all the possible answers.

[2 marks]

2 8 a a b 2 a a + 8 b

32 a a a (2 a b) 32 a a a (2 a) b

8 Carys has just had a birthday.

She is now A years old.

Her brother, Joshua is 2 years younger.

Her sister, Kiah, is twice as old as Joshua.

Write down an expression for their total age.

[3 marks]

Topic Test 2 (20 minutes) Basic algebra 2 - Foundation

1 Work out the value of 40 – 2 x 32

[1 mark]

2 Sunita has these cards:

Choose four numbers from the cards to make the following calculation correct:

[1 mark]

( + ) ÷ x = 21

3 Simplify 5 3 f f f g g

[2 marks]

2 3 5 6 9

4 Mr Mistry has 3 grandchildren.

He gives Nimisha £m.

He gives Sunhil £80 less than Nimisha.

He gives Akshay twice as much as Sunhil.

Write down an expression for the total amount of money he gives them.

[3 marks]

5 Multiply out 5(2a – 7)

[2 marks]

6 Expand and simplify

6 (a) 2(3h + 6) + 5(4h + 2)

[3 marks]

6 (b) 6(3j – 2) – 4(2j + 4)

[3 marks]

Sam wants to build a water play area for children.

He wants the shape to have two lines of symmetry.

Work out an expression for the total perimeter of the shape.

[4 marks]

2x – 3 m

3(x + 2) m