1.
Find the value of t in this equation.
33 – 8t = 15
Show
your method.
You may get
a mark.
2 marks
2.
In this equation N stands for a number.
5N – 2 = 3N + 12
What is the value of N?
N=
2 marks
Blackfield Junior School
1
3.
Find the value of x in this equation.
6x – 27 = 0
Show
your method.
You may get
a mark
2 marks
4.
Find the value of t in this equation.
4 + t = 9t
Show
your method.
You may get
a mark
2 marks
Blackfield Junior School
2
5.
Find the value of u in this equation.
7 + 4u = 70 – 3u
Show
your method.
You may get
a mark.
2 marks
6.
What is the value of u in this equation?
5u – 10 =
u
+ 46
Show
your method.
You may get
a mark.
2 marks
7.
The sum of two numbers is 5.
The difference between the numbers is 0.5
What are the numbers?
2 marks
Blackfield Junior School
3
What is the value of t in this equation?
8.
3t = t + 3
2 marks
Find the value of y in the equation.
9.
8 + y = 7 + 5y
Show
your method.
You may get
a mark.
cm
2 marks
10.
Award TWO marks for the correct answer of 2.25
Up to 2m
If the answer is incorrect, award ONE mark
for evidence of an appropriate method, eg
algebraic manipulation to reach
18 = 8t
Answer need not be obtained for the award of the mark.
[2]
11.
Award TWO marks for the correct answer of 7, even if the working is incorrect.
up to 2
If answer is incorrect, award ONE mark for working that shows evidence of
attempt to solve by collecting like terms, eg:
 2N = 10
 8N = 14
[2]
Blackfield Junior School
4
12.
Award TWO marks for the correct answer of 4.5
OR 4½ OR 9/2 OR 27/6.
up to 2
If the answer is incorrect, award ONE mark for evidence
of an appropriate method, eg:
x = 27 ÷ 6
Accept any equivalent to 9/2
Calculation need not be performed for the award of ONE mark,
but the method shown must be capable of producing the correct
answer.
Accept for the award of ONE mark evidence of trial and
improvement leading to an incorrect answer, even though this is
an inappropriate method of solving linear equations, eg:
6 × 5 – 27 = 3
6 × 4 – 27 = –3
x = incorrect answer between 4 and 5.
[2]
13.
Award TWO marks for the correct answer of 1/2 OR 0.5
up to 2
If answer is incorrect, award ONE mark for evidence of appropriate method which
results in:
 8t = 4, or equivalent.
[2]
14.
Award TWO marks for the correct answer of 9
Up to 2m
If the answer is incorrect, award ONE mark for evidence of an
appropriate method, eg
algebraic manipulation to reach 7u = 63
[2]
15.
Award TWO marks for the correct answer of 14
Up to 2m
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
algebraic manipulation to reach
4u = 56
Calculation need not be completed for the award of the mark.
Accept for ONE mark trial and improvement showing two
convergent attempts or two attempts which straddle the correct
value and which are within the range 11–17 OR one error in the
collection of terms.
[2]
16.
Award TWO marks for a correct answer of 2.25 AND 2.75
Accept the numbers in any order.
Accept the numbers in fraction form.
Blackfield Junior School
up to 2
5
If the answer is incorrect award ONE mark for evidence of an appropriate method, eg
5  2 = 2.5
AND 2.5 + 0.25
AND 2.5 – 0.25
OR trial and improvement showing two attempts, using numbers between 2 and 3, which either
converge towards or straddle the correct answer.
[2]
17.
Award TWO marks for the correct answer of 1½ OR 1.5
up to 2
Accept equivalent fractions, eg 3
2
If the answer is incorrect, award ONE mark for evidence of an appropriate method,
eg algebraic manipulation to reach
2t = 3
OR trial and improvement showing at least two convergent attempts or two attempts which
straddle the correct value.
Calculation need not be completed for the award of the mark.
[2]
18.
Award TWO marks for the correct answer of 0.25 OR ¼
Up to 2
If the answer is incorrect, award ONE mark for evidence of an appropriate method,
eg algebraic manipulation to reach
4y = 1 OR – 4y = –1
OR trial and improvement showing at least two convergent attempts OR trials with
two values that differ by less than1 and which straddle the correct value.
Accept equivalent fractions.
[2]
Blackfield Junior School
6