BUDS PUBLIC SCHOOL, DUBAI
GRADE -10 WORKSHEET Subject: Maths
1. M and N are points in the sides PQ and PR respectively of a DPQR. If PN = 4.8 cm, NR =
1.6 cm, PM = 4.5 cm and MQ = 1.5 cm, then find whether MN||QR or not.
2. Explain why (17 ´ 5´11´ 3´ 2 + 2´11) is a composite number?
3. The decimal expansion of 51 23 ´ 52 will terminate after how many decimal places?
4. Given the linear equation 3x + 4 y = 9 write another linear equation in these two variables such that the geometrical representation of the pair so formed is:
(i) intersecting lines
(ii) coincident lines
5. Find the smallest number of 5 digits which is exactly divisible by 12, 16 and 20.
6. What should be added in the polynomial x3 - 2x2 - 3x - 4 so that it is completely divisible x2 – x?
7. Find a quadratic polynomial, the sum and product of whose zeroes are – 10 and 25 respectively. Hence find the zeroes.
8. Solve the following pairs of linear equation by the substitution method: 0.4x + 0.5y = 2.3
0.3x + 0.2y = 1.2
9. If HCF of 480 and 685 is expressed in the form 480x – 475, find the value of x.
10. Find all the zeroes of the polynomial x4 - 3x3 + 6x - 4, if two of its zeroes are
2 and -2
11. Solve graphically the pair of linear equations: 3x – 2y + 7 = 0; 2x + 3y – 4 = 0
Also shade the region enclosed by these lines and x-axis.
12. Rani decided to distribute some amount to poor students for their books. If there are 8 students less, everyone will get Rs10 more. If there are 16 students more every one will get Rs10 less. What is the number of students and how much does each gets? What is the total amount distributed? What is the reason that motivated Rani to distribute money for books?
13. Show that square of any positive odd integer is of the form 8m + 1, for some positive integer m.
14. For what value of k, is 3 a zero of the polynomial 2x2 + x + k?