CBSE Class 10 Mathematics Sample Paper 2018 Set I

SECTION A

Q1. The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is :

(a) 65

(b) 875

(c) 1750

(d) 13

Q2. If sec²A .(1 + sinA ).(1 – sinA) = k , then the value of k is :

a) 0

b) 1

c) -1

d) 2

Q3. In triangle PQR , X is on PQ & Y is on PR & XY is parallel to QR, PX/QX = ½ then

a) XY =QR

b) XY = 1/3 QR

c) (XY)² = (QR)²

d) XY = ½ QR

Q4. Which of the following is correct.

a) Mode = 3 mean – 2median

b) Mode = 3 median + 2 mean

c) 3Median = mode + 2mean

d)2mean = Mode – 3median

SECTION B

Q5. If cot A = 7/8 , find the value of (1 + sinA)(1 – sinA)/(1 + cosA )(1-cosA).

Q6. Find a quadratic polynomial whose zeroes are 5 + √2 & 5 -√2

Q7. In triangle ABC, D & E are points on the sides AB & AC respectively , such that DE is parallel to BC . If AD = 3x +19 , DB = x + 3 , AE = 3x + 4 , EC = x , find x.

Q8. If 3tan A = 4 , then find : (3sinA + 2cosA)/ (3sinA - 2cosA).

Q9. If the sum of the squares of zeroes of the polynomial 5x² + 3x +k is 11/25 , Find the value

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