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Revision 2 Grade 7

The document contains a series of mathematical problems involving algebraic equations, area calculations for rectangles and triangles, and quadratic equations. It requires solving for variable values and demonstrating understanding of geometric properties. The problems include finding values of x and y, calculating areas, and determining perimeters.

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naturebuddy2022
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21 views12 pages

Revision 2 Grade 7

The document contains a series of mathematical problems involving algebraic equations, area calculations for rectangles and triangles, and quadratic equations. It requires solving for variable values and demonstrating understanding of geometric properties. The problems include finding values of x and y, calculating areas, and determining perimeters.

Uploaded by

naturebuddy2022
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 12

Showing all your working, solve

5x
– 9 = 0,
(a) 2

Answer (a) x = ………………….…………


[2]

2
(b) x + 12x + 3 = 0, giving your answers correct to 1 decimal place.

Answer (b) x = ……..…… or x = …………


[4]
2.

( x + 4 ) cm

R 4 x cm

Q ( x + 2 ) cm

( x + 1 2 ) cm NOT TO SCALE

(a) (i) Write down an expression for the area of rectangle R.

2
Answer (a) (i) …….…………………. cm
[1]

2
(ii) Show that the total area of rectangles R and Q is 5x + 30x + 24 square
centimetres.

[1

2
(b) The total area of rectangles R and Q is 64 cm .
Calculate the value of x correct to 1 decimal place.

Answer (b) x = …………………………….


[4]

1 5 0 cm
7 x cm

2 4 x cm NOT TO
SCALE

The right-angled triangle in the diagram has sides of length 7x cm, 24x cm and 150 cm.
2
(a) Show that x = 36

[2]

(b) Calculate the perimeter of the triangle.

Answer (b) ……..….………………… cm


[1]

2y – 1
y

y+2 NOT TO SCALE

The diagram shows a right-angled triangle.


The lengths of the sides are given in terms of y.
2
(i) Show that 2y – 8y – 3 = 0.

[3]

2
(ii) Solve the equation 2y – 8y – 3 = 0, giving your answers to 2 decimal places.

[4]

(iii) Calculate the area of the triangle.

2x + 4

x+2 x

x2 – 40 NOT TO SCALE

The diagram shows a trapezium.


Two of its angles are 90°.
The lengths of the sides are given in terms of x
The perimeter is 62 units.

(i) Write down a quadratic equation in x to show this information. Simplify your
equation.
[2]

(ii) Solve your quadratic equation.

[2]

(iii) Write down the only possible value of x.

[1]

(iv) Calculate the area of the trapezium.

[2]
81
0

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