Name of the School : National Institute of Open Schooling
Name of the Exam : Secondary Mathematics
Document type : Sample Question paper
Website : nios.ac.in
Download Model/Sample Question Papers : https://www.pdfquestion.in/uploads/nios.ac.in/5340.-qpmath.pdf
Mathematics Sample Question paper :
Mathematics
Time : 3 Hours
Maximum Marks : 100
Related : National Institute of Open Schooling Secondary Home Science Sample Question Paper : www.pdfquestion.in/5337.html
Note :
1. Question Numbers (1–16) are Multiple Choice Questions. Each question carries one mark. For each question, four alternative choices are given, of which only one is correct. You have to select the correct alternative and indicate it in the box provided against each question by writing A, B, C or D as the case may be.
1. The sum of 20, 30 and 40 is :
(A) 0 (B) 1
(C) 3 (D) 9
2. In terms of power of prime numbers, 360 can be written as;
(A) 2 × 3 × 5 (B) 22 × 32 × 5
(C) 8 × 9 × 5 (D) 32 × 23 × 51
3. The HCF of 12 and 28 is :
(A) 2 (B) 3
(C) 4 (D) 36
4. The square root of 0.04 is :
(A) 0.002 (B) 0.02
(C) 0.2 (D) 0.16
5. A person took a loan of Rs 1500 from his employer for 3 months at 12% per annum simple interest. The amount he has to return is :
(A) Rs 45 (B) Rs 1500
(C) Rs 1545 (D) Rs 1455
6. At a book stall, a discount of x% was allowed on each book. A book was purchased by a customer for Rs y, its marked price was :
7. A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 8% discount on the list price. The profit percent of the retailer is :
(A) 20% (B) 15%
(C) 12% (D) 8%
8. A man purchased a bundle of cloth, with a list price of Rs 20000, and a sales tax of 10% on it. He paid Rs 25000 to the shopkeeper. The money he got back was :
(A) Rs 22000 (B) Rs 15000
(C) Rs 3000 (D) Rs 2000
9. A transversal PQ intersects two lines AB and CD as shown in the adjacent figure. A pair of alternate angles is :
(A) 1 and 2 (B) 1 and 4
(C) 2 and 3 (D) 4 and 5
10. In DABC, the bisector ÐA is same as the median through A. DABC is :
(A) isosceles with AB = BC (B) a right angled triangle
(C) isosceles with AB = AC (D) isosceles with BC = AC
11. The area of a circle is 314 cm2. If p = 3.14, then its diameter is :
(A) 100 cm (B) 50 cm
(C) 20 cm (D) 10 cm
12. The total surface area of a closed right circular cylinder of radius 3.5 m and height 7 m is :
(A) 77 m2 (B) 154 m2
(C) 231 m2 (D) 308 m2
14. If sinq + cosq = 2 cosq , the value of tanq is :
(A) 2 (B) 1
(C) 2 -1 (D) 2 +1
15. Cumulative frequency of a class in a frequency distribution table is :
(A) total of all frequencies
(B) sum of all frequencies prior to that class
(C) sum of all frequencies upto the class
(D) sum of frequencies after the class
16. The cumulative frequency of the last class of a frequency distribution is equal to :
(A) frequency of last class
(B) frequency of first class
(C) frequency of the class prior to the last class
(D) total of all frequencies
20. Express -0.3 in the form – p q where p and q are natural numbers.
21. The sides of a triangle are in the ratio 1 : 1.5 : 2. If the perimeter is 13.5 cm, find the length of each side.
22. The entries in the pass book of a saving bank account holder in a particular year are as follows :
Date Particulars Amount withdrawn Amount Deposited Balance
1.7.2002 B/F — — 20,000.00
22.7.2002 By cheque — 10,000.00 30,000.00
30.7.2002 To cheque 12,000.00 — 18,000.00
20.9.2002 By cheque — 8,000.00 26,000.00
10.10.2002 By cheque — 10,000.00 36,000.00
9.11.2002 By cash — 8,000.00 44,000.00
24.12.2002 To cheque 33,000.00 — 11,000.00
Find the principle on which interest is payable for one month.
23. In the given figure, S is any point on QR. Prove that PQ + QR + RP > 2PS
24. In the given figure, find the value of x.
25. The volume of a cube is 1728 cubic cm. Find its total surface area.