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Number mainly – Grade that question
Name:
Describe the work at each grade:
D Grade
BiDMAS
+ and – fractions
Calculate with negative numbers
Find the % of a number
Convert between fractions and
decimals
C Grade
Multiply and divide fractions
Multiply and divide decimals
Estimate by rounding to 1 s.f.
C Grade
A/A* Grade
Write a number as a product of its
prime factors
LCM and HCF
Find the nth term of a linear sequence
Convert a recurring decimal to a
fraction
Scale each question from 1 (can’t do it) to 5 (super confident, this is easy)
Answer Q
Q Grade Question
Grade Question
2.
12.
Find the Highest Common Factor of 75 and 90.
The number 40 can be written as
2m × n, where m and n are prime
Find the Lowest Common Multiple of 75 and 90.
numbers. Find the value of m and
the value of n.
(Hint: do the prime factor decomposition first)
3.
5.
7.
13.
7
1
Work out 1 × 5
8
3
Work out 3
Convert the recurring decimal 2.14 5 to a
fraction.
A jacket costs £50 plus VAT at 171/2%.
Work out the total cost of the jacket.
8.
2
Work out the value of 1 3
2
15.
Change
17.
18.
3
4 Give
your answer as a fraction in its simplest
form.
Answer
1
4
÷2
2
5
3
to a decimal.
11
Linda gets 24 out of 40 in a
science test. Write 24 out of 40
as a percentage.
x is an integer such that 1  x  9
Prove that 0.0 x 
x
99
9.
19.
(i)
2×3+4
(ii)
10 – 2 × 5
Here are the first 5 terms of an
arithmetic sequence.
6, 11, 16, 21, 26
(iii) 16 ÷ (2 × 4)
Find an expression, in terms of n,
for the nth term of the sequence.
10.
x and y are different prime numbers.
(i)Write down the Highest Common Factor
(HCF) of the two expressions x2y xy2
(ii) Write down the Lowest Common Multiple
(LCM) of the two expressions
x2y xy2
The first four terms of an arithmetic sequence
are
21
17
13
9
Find, in terms of n, an expression for the nth
term of this sequence.
20.
p is a prime number not equal to 7
Write down the Highest Common
Factor (HCF) of
49p
and
7p2
Use your calculator to work out
the value of
(7.91  3 81 )  4.32
6.23  1.491
Give your answer correct to 3
significant figures.
Using the information that 65 × 423 = 27 495
Estimate the value of
find the value of
813  19.8
97.6
(i)
0.65 × 4230
(ii) 274.95 ÷ 650