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Year 7 Check Up 3

The document contains a series of mathematical problems and exercises, including evaluating expressions, converting temperatures, simplifying algebraic expressions, factorizing, and writing expressions in algebraic notation. It covers various topics such as basic arithmetic, algebra, and geometry. Each question is assigned a specific mark value indicating its difficulty or importance.

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yassin.private.mail
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26 views4 pages

Year 7 Check Up 3

The document contains a series of mathematical problems and exercises, including evaluating expressions, converting temperatures, simplifying algebraic expressions, factorizing, and writing expressions in algebraic notation. It covers various topics such as basic arithmetic, algebra, and geometry. Each question is assigned a specific mark value indicating its difficulty or importance.

Uploaded by

yassin.private.mail
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1 a Find the value of the expression 3y + 2z , when y = 5 and z = 2.

______(1 mark)
p2
b If s = , find the value of s when p = -4 and q = 8.
q

______(2 marks)
9C
2 Use the formula F =  32 to convert 10° C into Fahrenheit.
5

____________ ° F (2marks)
3 Simplify each of these expressions.
a) 2p×3q

____________ (1)
b) c × a × a2 × c

____________ (1)
c) 2n(n2+3n)

____________ (1)
d) 4(x + 3)

____________ (1)
e) x(x + 3)

____________ (1)
f) 8(x – 4) – 2(3x + 6)

____________ (2)

Page 3 of 6
g) 3a(2a + 4b) - 4a(a − 7b)

____________ (2)
h) 4x + y + 4y – x

____________ (1)
i) r2 + 5r + 3r2 − 2r

____________ (1)

j) −2p + 5q − p + q

____________ (1)
12m5
k)
3m

____________ (2)

6x  4
l)
2

____________ (2)

4 Pens cost x pence each. Rulers cost y pence each.


Hassan buys 3 pens and 2 rulers. The shopkeeper charges him T pence.
Find an expression for T
____________ (1 mark)

5 Factorise these expressions.


a 3d + 12
_____________ (1 mark)
b 24𝑓 3 − 16𝑓 2 g
_____________ (1 mark)

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6 The height of a bean plant is h cm after it has been growing for d days.

a Use the formula h = 10 + 2d.

to find the height of the plant after 5 days

_____________ (1 mark)
b What is the height of the plant after two weeks?

_____________ (1 mark)

7 A bag of sugar has a mass of 2 kg.

a Write down an expression in terms of n for the total mass in kilograms of n bags of
sugar.

_____________ kg

b Write down an expression in terms of n for the total mass in grams of n bags of sugar.

_____________ g
(2 marks)

8 Write these sentences using algebraic notation

a I think of a number ,multiply by 2 then subtract 6 _________ ( 1 )

b I think of a number add 8 then multiply by 4 _________ ( 1 )

c Multiply n by 4, then add 8. Divide the whole expression by 2 _________ ( 1 )

Page 5 of 6
9 Find the perimeter of the below shape. Write your answer as simply as possible.

______(2 marks)

10 The diagram shows a rectangle with length (3d + 2) cm and width (d + 5) cm.

a Write an expression for the perimeter of the rectangle and simplify.

_____________(2)

b Write an expression for the area of the rectangle.

_____________ (1)
(3 marks)

Page 6 of 6

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