mathsgrader - Week 1 assesssment Tier B

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- Remember Mathsgrader usually only marks correct or partially correct answers.
- If you want to type a fraction like

\frac{1}{2}

$\frac{1}{2}$ , type 1/2.
- If you want to type

x^{2}

$x^2$ type x^2.
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Wk1 Assessment Tier B

Fill in the factor tree

(2 marks)

ii)

Express 140 as a product of prime factors

(1 mark)

Fill in the factor tree

(2 marks)

ii)

Work out the highest common factor of 176 and 242

(2 marks)

5^{5} \times 5^{3}

$5^5 \times5^3$

(1 mark)

ii)

x^{8} \div x^{4}

$x^8 \div x^4$

(1 mark)

Find the lowest common multiple of 108 and 90

(2 marks)

$\frac{20x^8}{4x^2}$

(2 marks)

Etta and Ralph are riding around a track on their bikes. They start together at exactly the same time.
Etta takes 60 seconds to complete one lap.
Ralph takes 48 seconds.
After how many seconds do they cross the start line at exactly the same time?

(2 marks)

Work out

4^{- 3}

$4^{-3}$

(1 mark)

ii)

11 x^{9} \times a x^{b} = 99 x^{15}

$11x^{9}\times ax^{b} = 99x^{15}$

a =

$a=$

b =

$b=$

(2 marks)

iii)

Write as a fraction in its simplest form the reciprocal of 2.5

(2 marks)

Connie thinks of two numbers.
One is a prime number, the other is a square number. They have a difference of 22.
Work out the two numbers Alex is thinking of.

(2 marks)

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