MBOSE Class 10 Question Paper 2019 for Mathematics Special

Total No. of Printed Pages—8
X/19/M (Spl)

2019

MATHEMATICS

( Special )

( Lower Grade Mathematics for Candidates with Special Learning
Disabilities )

Full Marks : 100
Pass Marks : 30

Time : 3 hours

The figures in the margin indicate full marks for the questions

General Instructions :
(i) All questions are compulsory.
(ii) The question paper consists of 35 questions divided into
four Sections A, B, C, and D.
(iii) Section—A consists of 10 questions of 1 mark each.
Section—B is of 10 questions of 2 marks each.
Section—C is of 10 questions of 4 marks each.
Section—D is of 5 questions of 6 marks each.
(iv) In Question Nos. 1 to 7 of Section—A, there are four
answers marked (A), (B), (C) and (D). Only one of these
answers is correct. The letter indicating the correct
answer should be written in capital in the answer book.
(v) Use of Electronic Device is not permitted.

/7 [ P.T.O.

( 2 )

SECTION—A
( Marks : 10 )

( Question Nos. 1 to 10 carry 1 mark each )

1. The set of negative numbers along with the set of whole
numbers are known as

(A) integers

(B) negative numbers

(C) positive numbers

(D) prime numbers

1 5
2. The value of + is
6 6
1
(A)
6
5
(B)
6
4
(C)
6
(D) 1

3. 10% of a journey is 72 km. The whole journey is

(A) 7·2 km

(B) 72 km

(C) 720 km

(D) 7200 km

X/19/M (Spl)/7 [ Contd.

( 3 )

2 3
4. The value of of of 24 is
3 4

(A) 16
(B) 12

(C) 48

(D) 144

5. The circumference of a circle is 88 cm. Its radius is
æ 22 ö
çuse p = ÷
è 7 ø

(A) 14 cm

(B) 28 cm

(C) 44 cm

(D) 88 cm

6. Which of the following is a positive integer?
8
(A)
-9

3
(B)
4

- 34
(C)
6

4
(D) -
14

X/19/M (Spl)/7 [ P.T.O.

( 4 )

7. The value of 3 × 6 ´ 100 is
(A) 0·036
(B) 3·600
(C) 0·36
(D) 360

8. State whether the following statements are ‘True’ or ‘False’ :
½×2=1

(a) The whole number 0 is neither a positive integer nor a
negative integer, as the negative of zero is zero.

(b) To convert a rational number into a decimal number, we
divide the denominator by the numerator.

9. Fill in the blanks : ½×2=1

(a) Amount – Interest = _____.

(b) Loss = _____ – Selling Price.

10. Define mode of data.

SECTION—B
( Marks : 20 )

( Question Nos. 11 to 20 carry 2 marks each )

11. Express 0·34 into percentage.

7 1
12. Find the value of + .
8 2

X/19/M (Spl)/7 [ Contd.

( 5 )

13. Find the length of a square whose perimeter is 36 cm.
Or
The circumference of a circular ground is 396 m. Find its
æ 22 ö
diameter çuse p = ÷.
è 7 ø

4
14. Convert into decimal representation.
25

15. Find the mode of the group data
3, 4, 3, 5, 3, 6, 3, 8, 4

-27
16. Convert into power notation.
125
Or

Express 3a ´ 4a as a single power.

17. Simplify :
2 4
¸
9 7

18. Find the median of the group data
17, 18, 19, 20, 21, 18, 16

19. Find the area of a rectangle ABCD in which AB = 13 cm and
BC = 8 cm.

20. Simplify :
2 0 ´ 52

X/19/M (Spl)/7 [ P.T.O.

( 6 )

SECTION—C
( Marks : 40 )
( Question Nos. 21 to 30 carry 4 marks each )
5
21. Among the 144 passengers travelling in a double-decker bus,
8
are sitting on the lower deck and the rest are on the upper
deck. How many passengers are travelling on the upper deck of
the bus?

22. If a pair of shoes costs R 106·35 and a pair of socks costs
R 18·65, how many sets of shoes and socks can be bought
with R 1,000?

23. Simplify :
æ -7 ö 3 1
ç ÷+ +
è6 ø 8 4

24. Jagan and Ravi share R 720 in the ratio 7 : 5 respectively. How
much did each get?
Or
The percentage required to pass in a paper is 40%, which is
equal to 60 marks. What is the total marks of the paper?

25. Simplify :
289 × 6 ¸ 6 × 4

26. A school auditorium is 50 m long and 30 m wide. This
auditorium is surrounded by a verandah 5 m wide on the out-
side of it. Find the area of the verandah.
Or
The inner and outer radii of a cylindrical pipe are 4 cm and
5 cm respectively. Find the area of cross-section of the pipe.
(Use p = 3 × 14).

X/19/M (Spl)/7 [ Contd.

( 7 )

27. Three friends Mala, Leela and Sheela divided a box of apples
9
weighing 15 kg equally among three of them. How many
10
kg of apples did each get?
28. The area of a rectangular lawn is the same as the area of an
18 cm long square. If the length of the rectangular lawn is
27 cm, find its perimeter.
29. Shelly, Raja and Rani share an amount of R 240 in the ratio
5 : 3 : 8. How much did each person get?
30. Simplify :
3 æ 4 -7 ö
- ´ç ´ ÷
4 è5 8 ø

SECTION—D
( Marks : 30 )
( Question Nos. 31 to 35 carry 6 marks each )
31. Here is an octagonal spinner. 1, 2, 3, 4, 5, 6, 7 and 8 are
marked on it. Write the probabilities when the spinner is
played :
(a) Spinner lands 4, P (4)
(b) Spinner lands on an even number, P (even number)
(c) Spinner lands on a number less than 4, P (less than 4)
(d) Spinner lands on a number between 3 and 6, P (3–6)
Or
Use the following table to construct a bar graph to display the
information about the number of geometry boxes sold by a
stationer in the first half of 2005 :
Months January February March April May June
Number of
geometry 3 5 17 14 10 2
boxes sold

X/19/M (Spl)/7 [ P.T.O.

( 8 )

5 5 - 3 11 2
32. Arrange the rational numbers , , , and in
8 6 4 12 3
ascending order.

33. A certain sum of money doubles itself at single interest in
8 years. In how many years will it be three times at the
same rate?

34. While painting a house, Arun mixes 1 litre of yellow paint with
3 litres of white paint. He needs 20 litres altogether. How many
litres of each colour did he use?

35. A rectangular plot is 40 m long and 16 m broad. A path of
uniform width of 2 m surrounds the plot inside it. Find the
cost of paving the road with bricks at R 15 per square meter.
Or
A circus tent has a radius of 30 m. The ring at the centre for
performance is 10 m in radius. Find the area left for the
audience. (Use p = 3 × 14).

HHH

X/19/M (Spl)/7 K9—1500