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Maths Grade 6 Paper 2018
1
Work out
+
2
3
1
4
5
2
_____________________________________________________________________________
2.
How many sides does a triangle have?
Answer : ………………………………..
_____________________________________________________________________________
3
Work out
+
5
4
6
2
0
5
_____________________________________________________________________________
4.
What fraction of the diagram is shaded?
4
9
Answer:……………….
_____________________________________________________________________________
5
Work out
3
1
x
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6.
Convert 5 kg into g
Answer : ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
_____________________________________________________________________________
7
Work out
4 4
8
0
_____________________________________________________________________________
8.
12
to its lowest terms
18
Reduce
Answer :…………………………………………
_____________________________________________________________________________
9.
Fill in the blanks in the table below. An example is given.
In words
In figures
Example : Five hundred and thirty eight
538
Two thousand one hundred and twenty
…………………………………
_____________________________________________________________________________
10. Work out
5
9
+
2
9
=
Answer :…………………………………………
_____________________________________________________________________________
11. Write down the missing term in the sequence below.
30,
25,
……………………….,
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12. Find the value of 42 =
Answer : …………………………………..
_____________________________________________________________________________
13. Find the Least Common Multiple ( L.C.M) of 8 and 10
Answer : …………………………………..
_____________________________________________________________________________
14. Calculate angle a.
Answer : …………………………………..
_____________________________________________________________________________
15. Circle the prime number in the llst below.
17,
21,
25,
27,
36
Answer : …………………………………..
_____________________________________________________________________________
16. Taniia is facing North.
What Direction will she face after making
1
turn clockwise?
4
Answer : …………………………………..
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For each question from numbers 17 to 28, circle the letter which shows the correct answer.
An example has been for you.
6 +2=
A
8
C
10
B
12
D
14
_____________________________________________________________________________
17. (5 x 10) + ( 3 x 1000) + ( 8 x 1) + (4 x 100)
A
5384
B
5348
C
3458
D
3548
_____________________________________________________________________________
18. Which one of following quadrilaterals has only one line of symmetry?
A
C
B
D
_____________________________________________________________________________
19. A jug contains 1.25 L of water.
How many such jugs of water are needed to fill a container of capacity 125 L complete?
A
10
B
100
C
1000
D
10000
_____________________________________________________________________________
20. A shop keeper buys an egg for Rs 4.50.
At what price must he sell it to make a profit of Rs 1.75?
A
Rs 2.75
B
Rs 3.75
C
Rs 5.25
D
Rs 6.25
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21.
22.
Which one of the following is a
expressed as a decimal is
reflex angle
23.
A
720
A
0.03
B
1350
B
0.15
C
1800
C
0.30
D
2340
D
0.75
24. The value of 2 in 45.12 is
What is the Highest Common Factor
(H.C.F) of 28 ad 42
A
2
A
2 hundredths
B
7
B
2 tenths
C
14
C
2 units
D
84
D
2 tens
25. The area of the shaded region below is
26. Which one of the following items has its
mass usually measured in tonnes?
27.
A
Aeroplane
B
Pencil
C
Apple
D
Table
2
A
8 cm
B
9 cm2
C
10 cm2
D
11 cm2
Which one of the following is a
28. 40 marbles are shared in the ratio 2 : 3
common year?
The smallest share contains
A
2008
A
8 marbles
B
2012
B
16 marbles
C
2018
C
20 marbles
D
2020
D
24 marbles
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29. The table below shows four 3-D shapes
Fill in the blanks in the table
An example has been done for you.
3-D shapes
Properties
Number of Faces : 6
Number of edges : 12
Number of Vertices : 8
Number of Faces : ………………………..
Number of edges : ………………………..
Number of vertices : ………………………..
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30. Fill in the blanks in the table below.
An example is given
Time on a 24-h clock Time on a 12-h clock Time in words
02 30
2.30 a.m
Half past two in the afternoon
18 15
……………………
……………………………………………..
_____________________________________________________________________________
31. The dots on the number line below show the positions ol three fractions between 0 and 1.
(i) Fill in each box above with the correct fraction from the following list
1
1
1
„
,
2
10
3
Explain
why you decided to place the fractions in the positions above
…………………………………………………………………………………………………………..
…………………………………………………………………………………………………………..
…………………………………………………………………………………………………………..
_____________________________________________________________________________
32.
3
5
+
5
=
8
Answer:………………………………………
_____________________________________________________________________________
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33. Calculate the average of 76, 121 and 211
Answer:………………………………………….
_____________________________________________________________________________
34. A cuboid has length 8 cm. width 4 cm and height 2 cm.
Find the volume of the cuboid
Answer: ……………… cm3
A cube has the same volume as the cuboid in part (i)
Find the length of one side of the cube.
Answer: ……………… cm
35. Josh knows that
385
x
439
=
169 015
Without doing any calculation, help Josh by writing down the missing numbers in the empty
boxes below.
÷
385
=
439
38.5
x
4.39
=
169. 015
.
385
x
438
=
169 015
169 015
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36. A jacket costs Rs 3 600
The price of the jacket is increased by 12%.
Calculate the new price of the jacket
Answer:……………………………………
______________________________________________________________________________
37. A rectangular sheet of paper has length 17 cm and width 12 cm.
A square piece is cut out of the sheet of paper, and the shape below is obtained.
Find the value of:
Length of BC + Length of DE = ………………………. cm
Find the perimeter of the shape ABCDEF
Answer:……………………………… cm
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38 PQRS is a rhombus with P(4 2), Q(0.5) and S(8.5) plotted on the graph below
(a) Point R is not shown on the graph above
Mark point R on the graph and write its coordinates.
Coordinates of R: (…………,…………..)
(b) The lines of symmetry of rhombus PQRS meet at point T.
What are the coordinates of T?
Coordinates of T: (…………,…………..)
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39. Raj purchased some items from a store.
When Raj returned home, he saw that his receipt was torn.
Study the receipt carefully and answer the questions below
(a)
What is the price of one packet of chocolate biscuits?
Answer:…………………………………………….
(b)
What is the total cost of all the items bought by Raj?
Answer:…………………………………………….
(c)
Raj paid his bill with a one-thousand rupee note.
How much change did he receive?
Answer:…………………………………………….
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40. A jug has a capacity of one litre.
It contains 250 mL of orange juice.
480 mL of water are poured into the jug
Three glasses containing equal amounts of apple juice are then poured into the jug.
The jug is now full
Diagram not to scale
Find the amount of apple juice contained in each glass.
Answer : …………… ……………..mL
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41. The pie chart below shows how Bon spent his money during a particular month.
(a) Given that Ben spent Rs 8 000 on Food,
calculate the total amount of money he spent in that month
Answer: Rs…………………………………………
(b)
Ben spent, twice as much on Transport as on Clothing Calculate angle x
Answer: Rs…………………………………………
(c)
How much money did Ben spend on Rent?
Answer: Rs…………………………………………
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42. The bar chart below shows the number of Grade 6 pupils who passed in Mathematics.
French, English and Science No. of pupils who passed
(a)
Fill in the blank in the sentence below.
The number of pupils who passed in……………………… is half the number of pupils who
passed in English
(b)
How many more pupils passed in French than in Mathematics?
Answer:…………………………..pupils
(c)
All Grade 6 pupils took part in all four examinations.
There were 16 pupils who failed in French.
How many pupils failed in Science?
Answer:…………………………..pupils
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43. Kevin wants to buy soft drinks.
The soft drinks are sold in packs of 6 cans and packs of 8 cans, as shown below
Find the lowest price at which Kevin can buy 24 cans of soft drink.
Answer:…………………………………………….
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44. Axel starts running from his home at 9 25 a m
(i) He runs a distance of 24 km in 2 hours to reach a park.
Find his average speed
Answer:……………………………………km/h
(ii) He spends 30 minutes in the park before running back home
At what time does Axel start running back home?
Answer:……………………………………
(iii) He runs back home at an average speed of 10 km/h,
covering the same distance as in part (i)
Find the time at which Axel reaches home.
Answer:……………………………………
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45. Sarah has Rs 450. She uses Rs 180 to buy 9 pencils and 7 pens.
Each pen costs three times as much as a pencil.
(i) Find the cost of one pen
Answer:
Rs…………………………………………
(ii) How many pens could Sarah buy with the amount of money remaining?
Answer:
……………………………………pens
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Maths Grade 6 Paper 2017
1
Work out
3
2
7
4
2
+
Answer
:
_____________________________________________________________________________
2
Work out
6
7
9
4
2
3
–
Answer
:
_____________________________________________________________________________
3
How many sides does a quadrilateral have?
Answer : ……………………………
_____________________________________________________________________________
4.
What fraction is found exactly between
and
?
Answer …………………………….
_____________________________________________________________________________
5
Complete the table below. An example is given.
In words
In figures
Example : Three hundred and forty seven.
347
(a) …………………………………………………………………………….
1064
…………………………………………………………………………………..
…………………..
(b) Five hundred and eighty nine
_____________________________________________________________________________
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_____________________________________________________________________________
6.
Work out
4
2
x
1
2
Answer :
_____________________________________________________________________________
7.
Convert 9 metres into centimetres
Answer : …………………………………..cm
_____________________________________________________________________________
8.
The diagram below shows a clockface.
Draw a minute hand and the hour hand on the clockface to show half past two.
Answer : …………………….
_____________________________________________________________________________
9
Work out
3 9
6
0
Answer :
_____________________________________________________________________________
10. Express
13
as mixed numer.
4
Answer : …………………….
_____________________________________________________________________________
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For each question from numbers 11 to 18, circle the letter which shows the correct answer.
An example has been for you.
6 +2=
11.
12.
13.
A
8
C
12
B
10
D
14
x
3
43
A
3
x
3
x
3
B
4
x
4
x
4
C
3
x
3
x
3
D
4
x
3
5284
A
(4 x 1000)
+
(8 x 100)
+
(2 x 10)
+
(5 x 1)
B
(4 x 100)
+
(8 x 10)
+
(2 x 1)
+
(5 x 1000)
C
(4 x 10)
+
(8 x 1)
+
(2 x 1000)
+
(5 x 100)
D
(4 x 1)
+
(8 x 10)
+
(2 x 100)
+
(5 x 1000)
How many lines of symmetry does a
14.
expressed as a decimal fraction is
regular hexagon have?
A
4
A
0.8
B
5
B
0.5
C
6
C
0.4
D
7
D
0.2
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15.
The area of one face of a solid cube is
16. 65 % is equivalent to
2
16 cm .
What is the total surface area of the
cube?
17.
A
4 cm2
B
8 cm2
A
0.065
B
0.65
C
6.5
D
65
2
C
64 cm
D
96 cm2
The shape below is made of small
squares reach of length 1 cm.
18. The picture below shpws an adult
elephant.
Find the perimeter of the shape.
What could be the mass of the
elephant?
A
6 cm
A
4500 kg
B
7 cm
B
4500 g
C
14 cm
C
45 kg
D
19 cm
D
45 g
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19.
Here are four number cards.
In the spaces provided below, arrange the number cards in ascending order.
20.
21. Work out
4
5
x
2
3
Answer: ……………………………………….
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22.
The diagram below is made up of nine small squares.
Shade one more small square so that the diagram has only one line of symmetry.
23.
A robot is made up of four different types of solid shapes as shown below.
24.
Two small triangles are shaded in the diagram below.
3
Shade additional small triangles so that
of the diagram is shaded.
5
25.
Work out 1
2
3
–
5
5
Answer : ……………………………..
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26.
Write down the missing number in the given sequence.
27.
Adi has 48 toys.
He then receives 25 toys on his birthday.
Calculate the number of toys Adi has in all.
Answer:…………………………………………..toys
28.
AB s a straight line.
Calculate the size of angle X.
Answer:angle x ………………………………………….
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29.
There are 11.25 litres of water in a tank.
Kevin uses .8 litres of water from the tank to wash his car.
How much water is left in the water tank?
Answer: …………………………………………L
__________________________________________________________________________
30. £ 1 = Rs 48
Ben buys a watch £ 96 and sells it for Rs 7200
Calculate the profit which he makes, in rupees.
Answer: Rs…….…………………..
__________________________________________________________________________
4
12
31. Work out :
÷
giving your answer in its lowest terms.
9
15
Answer: …….…………………..
__________________________________________________________________________
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32. (a)
State the vlue of X shown on the number line.
Answer X = …………………..
(b)
Estimate the lemgth of the pipe shown below.
Answer ………………….. m
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33. 40 children are going to Casela Bird Park
on a school outing.
20 % of these children have been to Casela
Bird Park before.
Calculate the number of children visiting
Casela Bird Park for the first time.
Answer:………………………………. children
__________________________________________________________________________
34. Mrs Bala buys two packets of sugar,
each of mass 900 g.
She uses 1 kg 50 g of the sugar to make cakes
and some more to make tea.
250 g of the sugar is left.
How many grams of sugar did Mrs Bala use
to make tea?
Answer:………………………………. g
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35. The price of a mobile phone is increased by 10 %
The new price of the mobile phone is Rs 3960.
Calculate the original price of the mobile phone.
Answer:Rs ……………………………….
__________________________________________________________________________
36. Tina knows that
521
x
147
=
76 587
Without doing any calculation, help Josh by writing down the missing numbers in the empty
boxes below.
76 587
÷
521
=
52.1
x
1.47
=
…………
x
147
=
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37.
The area of square MPQR is 64 cm2.
OPN is an isosceles triangle.
OP = 5 cm.
The perimeter of MNOPQR is 39 cm.
Calculate the length of ON.
Answer ……………. cm
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38. The pie chart below represents the number of mangoes, apples and pears in a basket.
Three friends are talking about the pie chart and
make the statements below.
Do you agree with each statement? Say why.
The first one has been done for you.
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39. ABCD is a rectangle.
EFG is an equilateral triangle.
Calculate the size of angle y
Answer:…………………………………
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40. Paul takes part in a race.
He runs a distance of 8 km at an average speed of 12 km/h.
He crosses the arrival line at 11 05 and wins the race.
At what time did the race start?
Answer:……………………………………………
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41. The total height of Judy and her baby brother is the same as the height of their father.
Judy is three times as tall as her brother.
Their father is 45 cm taller than Judy.
Calculate the height of their father.
Answer : ……………………………………………………….cm
____________________________________________________________________________
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42. Four pupils, Raj, Joe, Yan and Tom solve a problem.
The bar chart below represents the time taken by Joe, Yan and Tom to solve the problem.
(a)
Given that Raj completes the problem twice as fast as Tom, find the time taken by Raj to solve
the problem.
Answer:……………………………………..minutes
(b)
On the bar chart above, draw the bar representing the time taken by Raj to solve the
problem.
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(c)
Which pupil took the most time to solve the problem?
Answer:……………………………………..
(d)
Calculate the average time taken by the four pupils to solve the problem.
Answer:……………………………………..minutes
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43.
Rina, Lucy and Ann took part in an archery game.
They scored an average of 600 points in the game.
Rina scored 360 points.
Lucy scored half the number of points that Ann scored.
Hoe many marks did Ann score?
Answer: …………………………………points
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44. The rice found in a sack of rice is used to make both small and large packets of rice.
One sack of rice gives
either 4 small packets of rice and 2 large packets of rice.
Or
8 small packets of rice and 1 large packet of rice.
One small packet of rice contains 1.25 kg of rice.
Calculate the mass of rice in one sack of rice.
Answer : ………………………………kg
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45. The diagram below shows two containers, Container A and Container B.
One litre of water is distributed between the two containers so that the height of water h, in the
containers is the same. Calculate the height of water, h.
1 Litre = 1000 cm3
Answer : ………………………….. cm
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Maths Grade 6 Paper 2017 Specimen
1
Work out
+
4
2
2
3
5
2
Answer :
_____________________________________________________________________________
2.
What fraction of the diagram is shaded?
Answer …………………………….
_____________________________________________________________________________
3
Work out
–
9
1
8
3
7
6
Answer :
_____________________________________________________________________________
4
What is the special name given to the shape?
Answer : ……………………………
_____________________________________________________________________________
5.
Reduce
to its lowest term.
Answer …………………………….
_____________________________________________________________________________
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_____________________________________________________________________________
6.
Find the value of 23
Answer …………………………….
_____________________________________________________________________________
7.
Convert 7 litres into centilitres
Answer : …………………………………..cL
_____________________________________________________________________________
8
Work out
2
x
1
2
4
Answer :
_____________________________________________________________________________
9.
The pie chart below shows the sports which the pupils like in class.
Which one of the sports is most liked?
Answer : ……………………….
_____________________________________________________________________________
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_____________________________________________________________________________
10
Work out
4 8
4
0
Answer :
_____________________________________________________________________________
11. What is the Highest Common Factor ( H.C.F) of 10 and 15.
Answer: …………………………………….
_____________________________________________________________________________
12. Work out
4
7
+
1
7
=
Answer : …………………….
_____________________________________________________________________________
13. PQ is a straight line..
Calculate angle a.
Answer angle a : ………………….
_____________________________________________________________________________
14
Complete the table below. An example is given.
In words
In figures
Example : Two hundred and seven
207
(a) Seven thousand and eighteen
……………….
(b) ……………………………………………………………………
639
_____________________________________________________________________________
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_____________________________________________________________________________
15. The dagram below shows a solid pyramid.
_____________________________________________________________________________
16. An apple costs Rs 5. What is the cost of 3 such apples?
Answer: Rs ………………………
_____________________________________________________________________________
17. A shape has one line of symmetry. Part of the shape is shown below.
Complete the figure.
_____________________________________________________________________________
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For each question from numbers 17 to 27, circle the letter which shows the correct answer.
An example has been for you.
6 x2=
18.
20.
22.
A
8
C
12
B
10
D
14
(2 x 10) +( 9 x 100)+( 7 x 1) + (4 x 1000)
19.
The value of 4 in 425. 63
A
9742
A
4 tens
B
9427
B
4 hundreds
C
4927
C
4 tenths
D
4792
D
4 hundredths
Which one of these is a prime number?
21.
300 minutes =
A
29
A
5 hours
B
39
B
3 hours
C
49
C
5 seconds
D
59
D
3 seconds
The bar chart represents the number
22.
A baker has 85 kg 500 g of flour in
of biscuits Ali, Ken, Vik and Sid
stock.
ate during a day.
He uses 65 kg 380 g of flour to make
How many biscuits did Sid eat on that
bread. How much flour does he have
day?
left?
A
29
A
20 kg 110 g
B
39
B
20 kg 120 g
C
49
C
20 kg 220 g
D
59
D
20 kg 280 g
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24.
26.
5.81 – 0.42 =
25.
70 % is equal to
A
54.9
A
70
B
5.49
B
7
C
53.9
C
0.7
D
5.39
D
0.07
The area of the square is 36 cm2.
What is the length of the square?
27.
A ribbon is 3 m 72 cm long.
Sita cuts the ribbon into 3 equal pieces.
How long is one piece of ribbon?
A
6 cm
A
11 m 16 cm
B
9 cm
B
3 m 75 cm
C
144 cm
C
3 m 69 cm
D
216 cm
D
1 m 24 cm
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28. Shade
2
of the shape below.
3
29. The pictogram below shows the number of pupils in a class who like different flavoured
ice-cream. Study the pictogram and complete the following sentences
represents 4 pupils
(a)
The number of pupils who like vanilla ice-cream is ………………………………
(b)
The ice-cream flavour which pupils like the least is………………………………
(c)
The total number of pupils in the class is………………………………
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30.
Tina is 78 cm tall.
Her sister Pooja is 49 cm taller than her.
How tall is Pooja?
Answer:………………………….. cm
31.
The cards below show four lengths.
In the spaces provided below, arrange the lengths in ascending order.
The first one has been done for you.
32.
The perimeter of triangle PQR is 58 cm.
Calculate the length of PQ.
Answer: …………………………cm
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33.
Kabir sits down to watch the film “The Jungle Book”.
The film lasts for 1 h 50 minutes. It starts at 19 45.
At what time does the film end?
Answer………………………………………………….
34. Pqrs is an isoceles triangle with PQ = PR
Calculate angle z.
Answer…Angle z ……………………………………………….
35. 6 copyboks costs Rs 72.
What is the cost of 21 such copybooks.
Answer…Rs ……………………………………………….
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36. Grandmother shares Rs 3000 between her two grand-daughters Brinda and Dina, in the ratio
3 : 2 respectively.
How much money does Brinda receive?
Answer:…Rs…………………………………………………………..
18 x 25 = 450
37. Here is a number fact.
Without doing any calculation, decide whether the following are true or false.
Put a tick in the empty boxes to indicate your answer.
True
False
450 ÷ 25 = 18
18 ÷ 450 = 25
19 x 25 = 450 + 25
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38. The capacity of a water tank is 320 L.
1
8 of the tank is filled with water.
(i)
What fraction of the tank is empty?
Answer: ______________
(ii)
How many more litres of water should be added to the tank to fill it completely?
Answer: _____________________ L
39. In 2002, the total number of people living in a town was 32 000.
In 2014, the number of people living in the town increased to 36 800.
Calculate the percentage increase.
Answer: ___________________ %
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40. In a sale, the price of a camera is reduced by 35 %.
The camera costs Rs 9750 in the sale.
Calculate the original price of the camera.
Answer Rs ……………………..
41. KLMN is a rectangle of length 18 cm and width 7 cm.
JL = 12 cm
Calculate the area of the shaded region.
Answer …………………….. cm2
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42 (a) Richa makes some fruit juice mixture.
(i)
Which one of the measuring jugs, A or B, would be the most appropriate to measure
425 mL of grape juice?
Answer: Jug _________________
(ii)
Give a reason for your answer in the space provided below.
………………………………………………………………………………………………..
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42(b). To make her juice mixture, Richa mixes
500 mL of apple juice,
950 mL of lemon juice and 425 mL of grape juice altogether.
After mixing the juices, Richa pours her fruit juice mixture in small plastic cups.
Each plastic cup has a capacity of 250 mL.
How many completely filled plastic cups of fruit juice mixture does Richa get?
Answer: …………………………. Plastic cups
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43. Ryan takes part in a bicycle race. He starts the race at 09 55 and finishes at 12 25.
He travels a total distance of 45 km.
Calculate his average speed for the journey.
Answer: ………………………………………..km/h
___________________________________________________________________________
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44.
Jenna has 3 pets: a dog, a cat and a rabbit.
The average mass of the three animals is 7.3 kg.
The mass of the rabbit is 1.1 kg.
The mass of the dog is three times the mass of the cat.
Calculate the mass of the dog.
Answer : ...................................... kg,.
___________________________________________________________________________
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45. A winners‟ podium is made up of cube A and two cuboids B and C as shown below.
The perimeter of the rectangular base of the podium, PSTW, is 480 cm.
Calculate the length of cube A.
Answer …………………….. cm
(b)
The height of Cube A is three quarter that of the cuboid B.
The height of cuboid C is half the height of cuboid B.
Calculate the volume of cuboid C.
Answer …………………….. cm3
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46.
The pie chart below represents the different modes of travel used by pupils to go to school.
There are 1200 pupils in the school.
The number of pupils who go to school on foot is equal to one quarter of the number of pupils who
travel by car.
(a)(i) State the ratio of the number of pupils who travel on foot to the number of pupils who travel by car.
Answer: ______________ : ______
(a)(ii) How many pupils go to school by car?
Answer: _________________________ pupil
(b) How many more pupils travel by car than by bus?
Answer: _________________________ pupil
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