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Year 7 Mathematics - Revision questions Part 2

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1.
This is the net of a cuboid.
1.1.
Work out the surface area of the cuboid.
Show your working.
______________________ cm2
[2]
1.2.
Work out the volume of the cuboid.
______________________ cm3
[2]
2.
These lines have lengths 𝑎 and b.
This shape has a perimeter of 2𝑎 + 2b.
2.1.
Write down the perimeter of this shape.
________________________
[1]
2.2.
Draw a closed shape with perimeter 4𝑎 + 4b.
[1]
3.
Here is a shape made by joining two rectangles.
3.1.
Find the perimeter of the shape.
______________________ cm
[1]
3.2.
Find the area of the shape.
______________________ cm2
[2]
4.
Draw lines to join the cube or cuboid to the correct volume.
[2]
1.
Look at the diagram.
Work out the value of 𝑎.
________________________°
[1]
2.
ABCD is a parallelogram.
2.1.
Calculate the value of 𝑥 .
________________________°
[1]
2.2.
Karl measures the four angles of a quadrilateral as:
130°
65°
120°
55°
Fay says he has made a mistake in measuring the angles.
Is Fay correct? Yes/No
Explain how you know.
Because ______________________________________________________
______________________________________________________________
[1]
3.
The table shows some information about triangles A, B, C and D.
Complete the table using ticks (✓) and crosses (x).
The first row has been done for you.
[2]
4.
Look at the diagram.
ABD is a right-angled triangle.
ACD is an isosceles triangle with AC = CD.
Angle ACD = 110°
Work out angle ABD.
________________________°
[2]
5.
Here is a right-angled triangle.
Here are some angles.
40°
55°
30°
35°
65°
70°
Tick (✓) the two angles that can be used for 𝑎 and b.
[1]
6.
Here is a diagram using the points A to G.
6.1.
Put a ring around the best label for the shaded angle.
BAF
GAF
A
EAB
BAG
[1]
6.2.
What is the name of the polygon ABCDE?
________________________
[1]
7.
The diagram shows a shaded equilateral triangle and a shaded square
touching a straight line.
7.1.
Work out angle 𝑥 .
𝑥 =_____________________°
[1]
7.2.
Work out angle y.
y =______________________°
[2]
8.
The diagrams show four sets of parallel lines and four transversals.
One of the diagrams has an angle labelled incorrectly.
Put a cross (x) in the box of the diagram with an incorrect angle.
1.
Here is a dotty grid.
Join dots to make a hexagon that is symmetrical but not regular.
[1]
2.
A regular pentagon has sides 4cm long.
Each interior angle is 108°.
Use a ruler and protractor to draw this pentagon.
[2]
3.
Triangle ABC has side lengths AB = 5 cm and AC = 9 cm.
Angle BAC is 51°.
Use a ruler and protractor to draw this triangle accurately.
[2]
4.
The diagram shows a pentagon.
4.1.
Measure accurately the size of the reflex angle ABC.
________________________°
[1]
4.2.
Measure accurately the length of side AE in millimetres.
______________________ mm
[1]
1.
The table shows some information about 3D shapes.
Complete the table.
[2]
2.
The table shows information about some quadrilaterals.
Complete the table.
[2]
3.
Tick (✓) the shapes that are pentagons.
[1]
1.
Look at the shape drawn on the grid.
Reflect this shape in the line 𝑦 = 𝑥 .
[1]
2.
Look at the triangle drawn on the grid.
Translate this triangle 3 squares left and 4 squares up.
[1]
3.
Shape A is drawn on a grid.
Rotate shape A 90° clockwise about point C.
[2]
1.
Farhan asks all the students in his class how they travel to school.
He shows his results in a pie chart and on a bar chart.
1.1.
Complete the bar chart.
[1]
1.2.
How many students are there in Farhan’s class?
________________ students
[1]
2.
Hassan asks some children in his school to name their favourite sport.
He shows his results on a pictogram.
2.1.
50 children choose cricket as their favourite sport.
Use this information to complete the key on the pictogram.
[1]
2.2.
How many more children choose football than basketball?
________________________
[1]
2.3.
What fraction of the children choose cricket?
________________________
[1]
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