Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
A1 End-of-unit Test
1
Match each of the statements to the correct expression.
The first one is done for you.
3
Take x from 3.
3–x
Take 3 from x.
3x
x multiplied by itself.
x+3
Increase x by 3.
3 divided by x.
3
x
x–3
3 marks
2
Write these expressions as simply as possible.
t + 2t + 3t =
………………
2(y − 1) =
………………
4 + 3p − 6 + p =
………………
3 marks
Original material © Cambridge University Press 2010
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Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
3
a Here is an equation.
y + 4 = 15
Use this to work out the value of y − 4.
………………
1 mark
b Here is a different equation.
q + 6 = 10
Use this to work out the value of q − 8.
………………
1 mark
4
Here are three boxes. The box A weights x kg.
Write an expression for the weight of box B
A
B
C
and box C using the following information.
Box B is 5 kg heavier than Box A.
Box B ……………… kg
1 mark
Box C is twice as heavy as Box A.
Box C ……………… kg
1 mark
5
Write these expressions as simply as possible.
k×k×k =
………………
2p + m² + 3p =
………………
4q + 10 − 8q =
………………
2y × 3y =
………………
4 marks
Original material © Cambridge University Press 2010
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Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
6
Match the expressions that are equivalent. The first one is done for you.
1
2t ÷ 2t
t
2t
t + 2t
3t
2t − t
4t
t2
2t × t
2t2
3t2
t×t
t3
3 marks
7
a The number of pens is each box is the same.
Box A
Box B
Work out the value of x.
3x + 2
pens
2x + 4
pens
………………
2 marks
b Box B contains more pens than Box A.
Box A
Box B
What is the largest possible value of y?
5y
pens
y + 18
pens
………………
Original material © Cambridge University Press 2010
3
Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
2 marks
8
The perimeter of a square is 48x + 36.
a Write an expression for the length of one of the sides.
………………
1 mark
b The perimeter of a different regular shape is 18x − 27.
The length of one of its sides is 2x − 3.
How many sides does the shape have?
………………
1 mark
3x − 4
c Find an expression for the perimeter of this
shape.
Give your answer in its simplest form.
2x + 1
………………
2 marks
9
Fill in the missing expressions so that each statement is always true.
4x + 2x = ………………
4x × 2x = ………………
5y + ……………… = 7y
5y × ……………… = 20y²
……………… + ……………… = 10z
Original material © Cambridge University Press 2010
4
Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
……………… × ……………… = 24z²
3 marks
10 p and q are both positive whole numbers.
For each equation below, tick () the correct box.
p = q + 100
As q increases, p will
increase
decrease
p = 100 − q
As q increases, p will
increase
decrease
p = q² + 100
As q increases, p will
increase
decrease
100
q
As q increases, p will
increase
decrease
p=
2 marks
END OF ASSESSMENT
Original material © Cambridge University Press 2010
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Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
A1 End-of-unit Test – Teacher Guidance
Units covered: A1.1, A1.2
Guide to Levels.
Level Description
Simplifying linear algebraic expressions
5
Understanding the equivalence between algebraic expressions
Solving simple linear equations
Simplifying algebraic expressions with powers
6
Understanding the equivalence between algebraic expressions with powers
Deriving and simplifying formulae
Understanding identity and equivalence in a range of expressions
7
Multiplying and simplifying algebraic terms
Deriving and simplifying formulae
Answers
Question
1
Level
5
Mark
3
Answer
x−3
x²
x+3
Notes
3 marks for all four pairs linked correctly, or
2 marks for two pairs linked, or 1 mark for
just 1 pair linked correctly.
3
x
6
5
5
5
5
5
5
5
6
6
6
7
6
1
1
1
1
1
1
1
1
1
1
1
3
7a
7
2
6t
2y − 2
4p − 2
7
−4
x+5
2x
k³
5p + m²
10 − 4q
6y²
3t
t
2t²
t²
2
b
8a
b
c
7
7
7
7
2
1
1
2
4
12x + 9
9
10x − 6
2
3a
b
4
5
Original material © Cambridge University Press 2010
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
3 marks for all four pairs linked correctly, or
2 marks for two pairs linked, or 1 mark for
just 1 pair linked correctly.
2 marks for 2, or 1 mark for correct equation
2 marks for 4, or 1 mark for evidence of a
method which would lead to the answer
1 mark
1 mark
2 marks for (10x − 6) or 1 mark for attempt
to add 4 correct terms
6
Cambridge Essentials Mathematics Core 9 A1 End-of-unit Test
9
7
3
10
7
2
6x
8x²
2y
4y
e.g. 6z, 4z
e.g. 6z, 4z
increase
decrease
increase
decrease
3 marks for all correct, or 2 marks for four
correct or 1 mark for just 2 correct.
2 marks for all correct, or 1 mark for 2
correct.
NB: Levels are approximate only.
Suggested guidance on overall level based on performance:
Level 5 Level 6
Level 7
Total
8 marks 15 marks 22 marks 30 marks
NB: Levels are approximate only.
Original material © Cambridge University Press 2010
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