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