Q.1. Express 0.37777777..... in the form p/q. Q.2. ABC is an isosceles triangle with AB=AC and ∠ B = 45, Find ∠A.
Q.3. Give 3 rational numbers between 4/7 and 6/7.
Q.4. Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of
flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
Q.5. Write the coefficients of x2 in each of the following:
(i) 2 + x2
+ x (ii) 2 – y2
– y3
+ 2y8
Q.6. Expand (4a – 2b - 3c)2
Q.7. Write the decimal form of the following and also write the kind of decimal expansion of
each.
(i) 15/7 (ii) 33/8
Q.8. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring
was noted down as follows:
0, 1, 2, 2, 1, 2, 3, 1, 3, 0, 1, 3, 1, 1, 2, 2, 0, 1, 2, 1, 3, 0, 0 1, 1, 2, 3, 2, 0
Prepare a frequency distribution table for the data given above.
Q.9. The record of a weather station shows that out of the past 375 consecutive days, its
weather forecasts were correct 125 times.
(i) What is the probability that on a given day it was correct?
(ii) What is the probability that it was not correct on a given day?
Q.10. Rationalise the denominator 2/ (3 + √7)
Q.11. Verify whether 2 and 0 are zero of the polynomial x2 - 2x.
Q.3. Give 3 rational numbers between 4/7 and 6/7.
Q.4. Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of
flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
Q.5. Write the coefficients of x2 in each of the following:
(i) 2 + x2
+ x (ii) 2 – y2
– y3
+ 2y8
Q.6. Expand (4a – 2b - 3c)2
Q.7. Write the decimal form of the following and also write the kind of decimal expansion of
each.
(i) 15/7 (ii) 33/8
Q.8. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring
was noted down as follows:
0, 1, 2, 2, 1, 2, 3, 1, 3, 0, 1, 3, 1, 1, 2, 2, 0, 1, 2, 1, 3, 0, 0 1, 1, 2, 3, 2, 0
Prepare a frequency distribution table for the data given above.
Q.9. The record of a weather station shows that out of the past 375 consecutive days, its
weather forecasts were correct 125 times.
(i) What is the probability that on a given day it was correct?
(ii) What is the probability that it was not correct on a given day?
Q.10. Rationalise the denominator 2/ (3 + √7)
Q.11. Verify whether 2 and 0 are zero of the polynomial x2 - 2x.
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