The Shriram Millennium School, Noida
Final Examination
Subject: Mathematics- Paper 2 (Practice Paper)
Class: VIII
Time: 1hr
Name: ________________
Sec: _______
Roll number:______
Max. Marks: 50
READ THESE INSTRUCTIONS FIRST
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All questions are compulsory.
The number of marks is given in the brackets [ ] at the end of each question or part of a
question.
The total number of marks for this Question Paper is 50.
You must show all steps of working.
Write the answer statement after every question.
You are allowed to use a calculator.
1.
Draw a ring around the sum of the exterior angles of an equilateral triangle.
[1]
2.
Mia says, ‘y is 3 more than x squared’.
Write down a formula for y in terms of x.
[1]
y = ..........................
3.
(a) Here are the definitions of some angles.
[1+1]
Draw a ring around the two angles that add up to 180°.
A
B
C
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(b) Find the sum of the interior angles of a 9-sided polygon
4.
Here are some shapes on a grid.
[2]
Write the letter A to F for each of the shapes in the correct part of the Carroll diagram.
Shape A has been done for you.
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5.
The graphs show the costs, in $, of different masses of strawberries and raspberries.
[2]
Find how much more 1 kg of raspberries costs than 1 kg of strawberries.
6.
The diagram shows a trapezium.
All dimensions are in centimetres.
[2]
Find an expression for the area of the trapezium.
Simplify your answer as much as possible.
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7.
The line segment joining (a,b) to (c,d) has a midpoint of (3.5, –2).
Suggest possible coordinates for (a,b) and (c,d)
[2]
8.
A shape is formed from
a right-angled triangle ABC
and
a semicircle with diameter CB.
[3+2]
AC = CB = 6 cm.
(a) Find the area of the whole shape.
(b) Calculate the length of AB
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9.
Find the equation of the graph.
Give your answer in the form y = mx + c.
[2]
10.
A wheel has diameter 50 cm. What is the least number of times that the wheel needs to
turn to travel 100 m?
[2]
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11.
The map shows the position of a shop, S, and a library, L, on an island.
The scale of the map is 1 cm to 50m
[2]
A restaurant, R, is built on the island
on a bearing of 130° from the shop
and
220 metres from the library.
Mark the position of the restaurant on the map.
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12.
The diagram shows two circles, each with centre O.
[3]
Show that the circumference of the larger circle is approximately 44 cm more than the
circumference of the smaller circle.
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13.
Complete each statement to make it true.
[3]
14.
The table shows information about the ages of 100 runners.
[3]
Calculate the estimate of the mean age of these runners.
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15.
A jug is a cylinder with a diameter of 14cm.
The height of the water in the jug is 31cm.
[3]
The capacity of a glass is 315 cm3.
Find how many of these glasses can be completely filled using the water in the jug.
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16.
Shape A and shape B are drawn on the grid.
[2]
Shape A is mapped onto shape B by a combination of two transformations.
The first transformation is a reflection in the line y = x
Describe fully the second transformation.
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17.
A speed camera records the speeds of 50 cars in one hour.
[1+1]
(a) Write down the class interval that contains the median speed.
............................ ≤ s < ............................
(b) Draw a ring around the value that could be the range of the 50 speeds.
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18.
A solid cylinder has a height of 18 cm.
[3]
The curved surface area of the cylinder is 845 cm2.
Find the area of the top of the cylinder.
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19.
The diagram shows a cake board in the shape of a rhombus.
The diagonals of the rhombus are of length 25.5cm and 34cm.
[4]
Eva wraps ribbon around the perimeter of the cake board.
The ribbon does not overlap.
Ribbon costs 60 cents per metre.
Calculate the total cost of the ribbon Eva uses.
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20.
Here is a triangular prism ABCDEF.
[4]
ABC is a right-angled triangle.
BC = 12.1cm, AC = 13.3 cm and CF = 2.3 cm.
Calculate the volume of this triangular prism.
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ROUGH WORK
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