125 = a + b. a and b are square numbers. Find two possible pairs of values for a and b.
Answer
a = 10, b = 125 and a = 20, b = 150
a = 4, b = 121 and a = 25, b = 100
a = 1, b = 101 and a = 5, b = 50
Question 3
Question
Multiply out and simplify 10(2x – 1) – 20x
Answer
20x
-10x - 10
-10
Question 4
Question
A company receives 1250 orders in December. It has a January sale. It receives 1430 orders in January. Work out the percentage increase in orders.
Answer
14.4%
1.44%
12.58%
Question 5
Question
Use approximations to estimate the value of 402.52.19x38.7
Answer
6
4
5
Question 6
Question
Expand w(w + 6)
Answer
w2 + 6w
6w2 + w
w = 6
Question 7
Question
Factorise fully 8y + 20
Answer
y(8 + 20)
y = 2.5
4(2y + 5)
Question 8
Question
Post and packing on a parcel is £8.00 for delivery in the UK. This increases by 40% if the parcel is sent to the USA. Work out the cost to send the parcel to the USA.
Answer
£3.20
£11.20
£4.80
Question 9
Question
Write 126 as a product of prime factors.
Answer
3 x 2 x 2 x 5
1 x 126
2 x 3 x 3 x 7
Question 10
Question
Alice has £4. Billie has twice as much as Alice. Billie has two-thirds of the amount Chris has. The amount Chris has is four-fifths of his age in years. How old is Chris?
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