Mission Examination : ICSE कक्षा 10 वीं के छात्र MATHEMATICS का माडल पेपर हल कर आंसर की से करें मिलान

ICSE MODAL TEST PAPER 2021-22 CLASS X MATHEMATICS

TIME: 1 hour M.M.40

General Instructions :

Select the correct option from each of the following questions.

Section A [16 marks]

1. Transpose of a matrix is

(a)

2. The percentage of GST is 28% then the percentage of SGST in Intra-state sale of an article is

3. The third proportional to and 5 is

(a) 4 (b) (c) 3 (d) none of these

4. Mrs. Asha Mehta deposit Rs. 250 per month for one year in a bank recurring deposit account. If the rate of interest is 8% per annum then the interest earned by her on this account is

(a) Rs.65 (b) Rs.120 (c) Rs.130 (d) Rs.260

5. Write down the range of the values of x (x∈R) for which both the inequations -1

-2≤x≤3 are true.

(a) -1

6. If k-1, k+1 and 2k+3 are in A.P., then the value of k is

(a) -2 (b) 0 (c) 2 (d) 4

7. If en the corresponding proportional sides are

(a) (b) (c) (d)

8. In which of the following cases the sign of inequality does not reverse in a linear inequation?

(a) on adding a negative term to both the sides

(b) on multiplying a negative term both the sides

(c) on dividing a negative term both the sides

(d) on changing the sign of each term on both the sides.

9. If a is a natural number and one of the roots of the equation , then the value of a is

(a) 4 (b) 2/3 (c) 8 (d) 6

10. If x+3 is the mean proportional between x+2 and x+9, then the value of x is

(a) -9/5 (b) 9/5 (c) 5/9 (d) -5/9

11. If x-a is the factor of the polynomial then the value of a is

(a) 1 (b) -1 (c) 2 (d) -2

12. The equation will be quadratic, if the value of k is:

(a) k =1 (b) (c) Any number (d) Insufficient data

13. If a, b, c, d are in proportional, then is equal to:

(a) c/a (b) b/d (c) a/b (d) c/d

14. The factors of the polynomial are:

(a)

(b)

(c)

(d)

15. The Matrix has 4 elements, then which of the following cannot be the order of the matrix?

(a) (b) (c) (d)

16. In and QT is perpendicular PR. If PR=9 cm and PQ=3 cm, then PT=

(a) 1 cm (b) 2 cm (c) 3 cm (d) 4 cm.

Section B (12 marks)

17. Mr. Gujral has a 4 year cumulative time deposit account in in a bank and deposits Rs.650 per month. If he receives Rs.36296 at the time of maturity then rate of interest is….. per annum.

(a) 11% (b) 8% (c) 9% (d) 10%

18. If is a factor of a polynomial ,then its factor are

(a) (b)

(c) (d)

19. The solution set of , .

(a) (b) (c) (d)

20. If a : b=3 : 2, then is

(a) 17:13 (b) 45:23 (c) 27:8 (d) 35:19

21. If , then the value of and y are

(a) (b) (c) (d)

22. In the given figure, if If AC=8 cm, PC=12 cm, QC=x+1 and BC=2x-1, then the value of x is

(a) 1 (b) 5/4 (c) 2/3 (d) 2

Section C [12 marks]

23. A motorboat covers 10 km upstream and 5 km downstream in 6 hours. If the speed of the stream is 1.5 km per hour and the speed of motor boat is km per hour, then answer the following questions:

(i) The speed of the boat in upstream is

(a) 1.5 km per hour (b) ( - 1.5) km per hour (c) + 1.5) km per hour (d) km per hour

(ii) The equation formed in is:

(a) (b) (c)

(d)

(iii) The speed of the motor boat is;

(a) 1 km/hr (b) 3.5 km/hr (c) 2 km/hr (d) 7 km/hr.

(iv) How much time boat took in downstream?

(a) 1hr (b) 2 hr (c) 1.43 hr (d) 0.48 hr

24.

Related to the above series, choose the correct options from the following questions;

(i) What is the common difference of this A.P.?

(a) -4 (b) 4 (c) 2 (d) -2

(ii) If there are 13 terms in this AP then what is the value of the last term?

(a) 19 (b) 21 (c) 43 (d) 47

(iii) If the last term of this A.P. is 67, then what is the 8th term from the end?

(a) 53 (b) 57 (c) 35 (d) 39

(iv) What is the sum of first 10 terms of this A.P.

(a) 40 (b) 130 (c) 150 (d) 90

25. Amit went on trip to Uttarakhand, India. While driving, he observes a bridge in the shape of a trapezium. let AC and BD be the diagonals of bridge which intersect each other at point O.

(i) Which of the following statement is correct regarding the similarity of the triangles?

(a) by SAS similarity Rule

(b) by SAS similarity Rule

(c) by AA similarity Rule

(d) by AA similarity Rule

(ii) If AD=15 cm, OC=3 cm, OA=5 cm, then the length of BC is:

(a) 3cm (b) 9 cm (c) 15 cm (d) 20 cm

(iii) If OA=, OB= , OC= and OD=2x+1, then the value is:

(a) 1 (b) 2 (c) 4 (d) 6

(iv) If OA=2 cm , OC=3 cm and OD=4 cm, then OB=

(a) 8 (b) 2 (c) 4 (d) 6

Answaler Keys

1 b

2 a

3 a

4 c

5 b

6 b

7 a

8 a

9 a

10 a

11 b

12 d

13 b

14 a

15 d

16 a

17 b

18 a

19 c

20 d

21 c

22 b

23(i) b (ii) d (iii) b (iv) a

24 (i) b (ii) c(iii) d (iv) b

25 (i) c (ii) b (iii) b (iv) d