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Questions:

Multiple Choice Question

30 x 1 = 30

Which of the following can be the sides of an isosceles triangle?

(a)

6cm, 3cm, 3cm

(b)

5cm, 2cm, 2cm

(c)

6cm, 6cm,7cm

(d)

4cm, 4cm, 8cm

An equilateral triangle is

(a)

an obtuse angled triangle

(b)

a right angled triangle

(c)

an acute angled triangle

(d)

a scalene triangle

If all angles of a triangle are less than a right angle, then it is called ______________.

(a)

an obtuse angled triangle

(b)

a right angled triangle

(c)

an isosceles right angled triangle

(d)

an acute angled triangle

The given triangle is ___________

(a)

a right angled triangle

(b)

an equilateral triangle

(c)

a scalene triangle

(d)

an obtuse angled triangle

There is no profit or loss when

(a)

C.P. = S.P.

(b)

C.P > S.P.

(c)

C.P < S.P.

(d)

M.P. = Discount

Discount is subtracted from ____________ to get S.P.

(a)

M.P.

(b)

C.P.

(c)

Loss

(d)

Profit

2 ½ years is equal to ______________ months.

(a)

(b)

(c)

(d)

Which is the greatest? 0.007 g, 70 mg, 0.07 cg

(a)

0.07 cg

(b)

0.007 g

(c)

70 mg

(d)

all are equal

1006 g is equal to _________

(a)

1 kg 6 g

(b)

10 kg 6 g

(c)

100 kg 6 g

(d)

1 kg 600 g

10.

The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum is

(a)

(b)

(c)

(d)

11.

If the number 6354 * 97 is divisible by 9, then the value * is

(a)

(b)

(c)

(d)

12.

Which of the following numbers is not a prime?

(a)

(b)

(c)

(d)

13.

The equivalent fraction of \(\frac { 1 }{ 7 } \) is _____________

(a)

\(\frac { 2 }{ 15 } \)

(b)

\(\frac { 1 }{ 49 } \)

(c)

\(\frac { 7 }{ 49 } \)

(d)

\(\frac { 100 }{ 7 } \)

14.

A bar graph cannot be drawn using_____________.

(a)

Horizontal bars only

(b)

Vertical bars only

(c)

Both horizontal bars and vertical bars

(d)

Either horizontal bars or vertical bars.

15.

Which of the following is not true?

(a)

(4237 + 5498) + 3439 = 4237 + (5498 + 3439)

(b)

(4237 \(\times\) 5498) \(\times\) 3439= 4237 \(\times\) (5498 \(\times\) 3439)

(c)

4237 + 5498 \(\times\) 3439 = (4237 + 5498) \(\times\) 3439

(d)

4237 \(\times\) (5498 + 3439) = (4237 \(\times\) 5498) + (4237 \(\times\) 3439)

16.

The product of a non-zero whole number and its successor is always

(a)

an even number

(b)

an odd number

(c)

zero

(d)

none of these

17.

A point of concurrency in the figure is _________.

(a)

(b)

(c)

(d)

18.

The tally marks represents the number count

(a)

(b)

(c)

(d)

19.

The number 9785764 is rounded off to the nearest lakh as

(a)

9800000

(b)

9786000

(c)

9795600

(d)

9795000

20.

In this Figure, which is not the correct way of naming an angle?

(a)

∠Y

(b)

∠ZXY

(c)

∠ZYX

(d)

∠XYZ

21.

If a barbie doll costs Rs. 90, then the cost of 3 such dolls is Rs. ___________.

(a)

260

(b)

270

(c)

(d)

22.

Use BIDMAS and put the correct operator in the box. 2 \(\Box\) 6 - 12 \(\div \) (4 + 2) = 10

(a)

(b)

(c)

\(\times\)

(d)

\(\div \)

23.

The value of ‘c’ for which \(\frac{3c}{4}\) gives 18 is

(a)

c = 15

(b)

c = 21

(c)

c = 24

(d)

c = 27

24.

The chart below shows the number of newspapers sold as per Indian Readership Survey in 2018. Which could be the missing number in the table?

Name of the Newspaper	Ranking	Sold (in Lakh)
A	1	70
B	2	50
C	3	?
D	4	10

(a)

(b)

(c)

(d)

25.

Which is not an equivalent ratio of \({16\over 24}\)?

(a)

\(6\over 9\)

(b)

\(12\over 18\)

(c)

\(10\over 15\)

(d)

\(20\over 28\)

26.

The successor of 10 million is

(a)

1000001

(b)

10000001

(c)

9999999

(d)

100001

27.

The number of days in ‘w’ weeks is

(a)

30 + w

(b)

30w

(c)

7 + w

(d)

28.

‘6y’ means

(a)

6 + y

(b)

6 − y

(c)

6 × y

(d)

\(\frac{6}{y}\)

29.

If Azhagan is 50 years old and his son is 10 years old then the simplest ratio between the age of Azhagan to his son is

(a)

10 : 50

(b)

50 : 10

(c)

5 : 1

(d)

1 : 5

30.

The ratio of 1m to 50 cm is __________.

(a)

1 : 5

(b)

1 : 20

(c)

20 : 1

(d)

5 : 1

Generic 3

6 x 3 = 18

31.

Convert the following numerical expressions into Tree diagrams.
(i) 8 + (6 \(\times\) 2)
(ii) 9 − (2 \(\times\) 3)
(iii) (3 \(\times\) 5) − (4 \(\div \) 2)
(iv) [(2 \(\times\) 4)+2] \(\times\) (8 \(\div \) 2)
(v) [(6 +4) \(\times\) 7] \(\div \) [2 \(\times\) (10 −5)]
(vi) [(4 \(\times\) 3) \(\div \) 2] + [8 \(\times\) (5 − 3)]

32.

Convert into a Tree diagram (10\(\times\)9) − [(8\(\times\)2) + 3]

33.

A book seller has 175 English books, 245 Science books and 385 Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of books for each subject in a box.

34.

Write the mean and extreme terms in the following ratios and check whether they are in proportion.
(i) 78 litres is to 130 litre and 12 bottles is to 20 bottles
(ii) 400 gm is to 50 gm and 25 rupees is to 625 rupees

35.

Express the following algebraic statement to verbal statement.
5n − 12

36.

From the given figure
(i) identify the parallel lines
(ii) identify the intersecting lines
(iii) name the points of intersection.

Generic 2

7 x 2 = 14

37.

Pradeep travels 4 km and 350 m to reach to the market, while Kandan travels 6 km and 200 m to reach to the same market from their houses. How much distance does Kandan travel more than Pradeep?

38.

Find the prime factorisation of each number by factor tree method and division method.
a) 60
b) 128
c) 144
d) 198
e) 420
f) 999

39.

Write the alternate name of the angle

40.

There are 1000 students in a school. Data regarding the mode of transport of the students is given below. Draw a pictograph to represent the data.

Mode of Travel	On Foot	Bicycle	Scooter	Bus	Car
Number of Students	350	300	150	100	100

41.

Pick out the Right angles from the given figures.

42.

Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

43.

Madhavi and Anbu bought two tables for Rs. 750 and Rs. 900 respectively. What is the ratio of the prices of tables bought by Anbu and Madhavi?

Generic 5

7 x 5 = 35

44.

A football team gains 3 and 4 points for successive 2 days and loses 5 points on the third day. Find the total points scored by the team and also represent this in tree diagram.

45.

Wheat is being sold at Rs. 1550 per bag of 25 kg at a profit of Rs. 150. Find the cost price of the wheat bag.

46.

Prepare a bill for the following purchases at Aavin sales counter in Coimbatore on 25-06-2018 bearing the Bill number 160.
1. 5 packets Milk Khoa of 100 gm @ Rs. 40 each
2. 5 packets of Butter Milk @ Rs. 8 each
3. 6 packets Milk of 500ml @ Rs. 25 each
4. 5 packets Ghee of 100gm @ Rs. 40 each

47.

Study the above Bar graph and answer the following questions.
(i) Which activity is followed by maximum number of students?
(ii) How many students in all, spend their time on solving puzzles?
(iii) The total number of students who follow either reading stories or reading their subjects is__________.
(iv) The activity followed by minimum number of students is__________.
(v) The number of students who took part in reading comics is_______________.

48.

Using the numbers from 1 to 9
(i) Can you form a magic triangle?
(ii) How many magic triangles can be formed?
(iii) What are the sums of the sides of the magic triangle?

49.

The America’s famous Golden Gate bridge is 6480 ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60 ft long with 7 ft tall towers. Is the model in proportion to the original bridge?

50.

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many small size squares are there in each of the rectangles P, Q, R and S?
(ii) Fill in the boxes.

Rectangle	P	Q	R	S	T
Number of small size squares along the breadth	2	2	?	2	2
Number of squares along the length	1	4	3	?	x
Total number of squares in rectangle	?	8	?	10	?

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Answers Key:

Multiple Choice Question

30 x 1 = 30

(d)
an acute angled triangle

(b)
an equilateral triangle

(a)
C.P. = S.P.

(a)
M.P.

(b)
30

(a)
1 kg 6 g

10.

(b)
36

11.

(a)
2

12.

(b)
92

13.

14.

(d)
Either horizontal bars or vertical bars.

15.

16.

(a)
an even number

17.

(b)
F

18.

19.

(a)
9800000

20.

(b)
∠ZXY

21.

(b)
270

22.

23.

24.

(d)
26

25.

(d)
\(20\over 28\)

26.

(b)
10000001

27.

(d)
7w

28.

29.

30.

Generic 3

6 x 3 = 18

31.

(i) 8 + (6 \(\times\) 2)

(ii) 9 − (2 \(\times\) 3)

(iii) (3 \(\times\) 5) − (4 \(\div \) 2)

(iv) [(2 \(\times\) 4)+2] \(\times\) (8 \(\div \) 2)

(v) [(6 +4) \(\times\) 7] \(\div \) [2 \(\times\) (10 −5)]

(vi) [(4 \(\times\) 3) \(\div \) 2] + [8 \(\times\) (5 − 3)]

32.

33.

This is a HCF related problem. So, we need to find the HCF of 175, 245 and 385.

175 = 5 \(\times\) 5 \(\times\) 7; 245 = 5 \(\times\) 7 \(\times\) 7; 385 = 5 \(\times\) 7 \(\times\) 11
The HCF of 175, 245 and 385 is the product of the common factors 5 and 7 i.e, 5 \(\times\) 7=35
Since each box contains equal number of books, the greatest possible number of boxes = 35
The number of English books in each box = 175 \(\div \) 35 = 5
The number of Science books in each box = 245 \(\div \) 35 = 7
The number of Maths books in each box = 385 \(\div \) 35 = 11
Hence, the total number of books in each box is 5+7+11 = 23.

34.

(i) 78 :130 : : 12:20
Extreme terms are 78 and 20. Mean terms are 130 and 12.
Product of Extremes = 78 \(\times\) 20 = 1560
Product of Means = 130 \(\times\) 12 = 1560
Product of Extremes = Product of means
∴ It is in proportion.
(ii) 400 : 50 : : 25 : 625
Product of extremes = 400 \(\times\) 625 = 250,000
Product of means = 50 \(\times\) 25 = 1250
Here product of extremes ≠ product of means
∴ 400 : 50 and 25 : 625 are not in proportion

35.

12 less to 5 times n

36.

(i) \(\overline{EF}and\overline{GH},\overline{CD}and\overline{AB}\)
(ii) \(\overline{CD}and\overline{EF},\overline{AB}and\overline{EF},\overline{CD}and\overline{GH},\overline{AB}and\overline{GH}\)
(iii) P, Q, R and S

Generic 2

7 x 2 = 14

37.

Kandan travelled 1 km and 850 m more than Pradeep.

38.

a) 60
i) Division method:

Therefore 60 = \(2 \times 2 \times 3 \times 5\)
(ii) Factor Tree method:

b) 128
i) Division method:

Therefore 128 = \(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
(ii) Factor Tree method:

Therefore 128 = \(2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
c) 144
i) Division method:

Therefore 144 = \(2\times 2 \times 2 \times 2 \times 3 \times 3\)
ii) Factor Tree method:

Therefore 144 = \(2 \times 2 \times 2 \times 2 \times 3 \times 3 .\)
d) 198
i) Division method:

Therefore 144 = \(2 \times 3 \times 3 \times 11\)
ii) Factor Tree method:

Therefore 144 = \(2 \times 3 \times 3 \times 11\)
e) 420
i) Division method:

Therefore 420 = \(2 \times 2 \times 3 \times 5 \times 7\)
ii) Factor Tree method.

Therefore 420 = \(2 \times 2 \times 3 \times 5 \times 7\)
f) 999
i) Division method:

Therefore 999 = \(3 \times 3 \times 3 \times 37\)
ii) Factor Tree method:

Therefore 999 = \(3 \times 3 \times 3 \times 37\)

39.

\(\angle ZYX \)

40.

The pictograph for the mode of transport of students

41.

i), iii), v) are right angles

42.

The greatest number is 1386787215
The smallest number is 86720560

43.

The ratio of the price, of tables bought by Anbu and Madhavi
\(=900:750={900\over 750}\Rightarrow {900\div 150\over 750\div 150}={6\over5}=6:5\)
This is the ratio in the simplest form.

Generic 5

7 x 5 = 35

44.

A football team gains
1^st day = 3 points
2^nd day = 4 points = 3 + 4
A football team loses 5 points = (-5)
Therefore 3rd day = (-5) points (loses)
Total Points scored
((3+4) - 5) = 2
Tree Diagram

45.

Selling price = Rs. 1550
Profit = Rs. 150
Profit = S.P. - C.P.
\(\Rightarrow\) Rs. 150 = Rs. 1550 - C.P.
\(\Rightarrow\) Cost price = Rs.1550 - Rs. 150 = Rs. 1400

46.

1.	Milk Khoa \(\Rightarrow\) 5 \(\times\) Rs. 40	= Rs. 200
2.	Butter Milk \(\Rightarrow\) 5 \(\times\) Rs. 8	= Rs. 40
3.	Milk \(\Rightarrow\) 6 \(\times\) Rs. 25	= Rs. 150
4.	Ghee \(\Rightarrow\) 5 \(\times\) Rs 40	= Rs. 200
	Total	= Rs. 590

CASH BILL AAVIN PARLOUR, COIMBATORE
Bill No. 160 Date : 25.06.2018
Sl. No.	Items	Rate (in Rs.)	Quantity (packets)	Amount (in Rs.)
1.	Milk Khoa	40/packet	5	200
2.	Butter milk	8/packet	5	40
3.	Milk	25/packet	6	150
4.	Ghee	40/packet	5	200
	Total			590

47.

(i) ‘Reading stories’ is followed by maximum number of students.
(ii) 7 students spend their time to work out solving puzzles.
(iii) 8 + 4 = 12 students spend their time on reading stories or subjects.
(iv) ‘Studying subject’ is followed by minimum number of students.
(v) 5 students spend their time on reading comics.

48.

(i) Yes
(ii) 5
(iii)

Sums are 17, 19, 20, 21 and 23.

49.

The ratio of Golden Gate Bridge & Its model are = 6480 : 756 and 60 : 7
Product of extremes = 6480 \(\times\) 7 = 45,360
Product of means = 756 \(\times\) 60 = 45,360
Product of extremes = Product of means
∴ The model is in proportion to the ordinal bridge.

50.

(i) Number of small size square are P = 2; Q = 8; R = 6; S = 10
(ii)

Rectangle	P	Q	R	S	T
Number of small size squares along the breadth	2	2	2	2	2
Number of squares along the length	1	4	3	5	x
Total number of squares in rectangle	2	8	6	10	2x