Duration: 1 hour
Section A: Each question carries 1 mark
Question 1: A triangle whose sides are of length 12 cm, 14 cm and 18 cm is called a
i) Scalene triangle
ii) Equilateral triangle
iii) Right angles triangle
iv) Isosceles triangle
Question 2: The number of sides of a regular polygon whose each exterior angle has a measure of 40 degrees is
Question 3: Mean of 12, 10, 8, 6, 9, 15, 11, 18, 10 is
Section B: Each question carries 2 marks
Question 1: Find the product using suitable property
(a) 25 x (- 24) + (- 14) x (- 63)
(b) 18 x 48 x (- 101)
Question 2: A number consists of two digits in which the tens digit exceeds the units digit by 6. The number itself is equal to ten times the sum of digits. Find the number.
Question 3: Ranu has a bicycle whose each wheel has a radius of 70 cm. She covers a distance of 2km 450 m from his school to home. Find out the number of complete revolutions that each wheel of the bicycle makes.
Question 4: Solve for x: (2x – 1)/5 = (x + 8)/20
Section C: Each question carries 3 marks
Question 1: The ratio of milk : water in two vessels is 5:4 and 8:1 respectively. What ratio of contents of the two vessels should be mixed so that ratio of milk : water in resulting mixture is 5:4?
Question 2: Wendy gave her final exam consisting of several subjects. The average score she obtained which did not include Math is 85. Also, the average score she obtained if Math would have also been included is 95. The score she obtained in the subject Math is 100. Find out the total number of subjects in which she gave her exam.
Section D: Each question carries 4 marks
Question 1: Ayan visits a medical store and purchases the following articles: a. 2 inhalers for Rs. 500 each, sales tax at the rate of 15% b. One pair of Air Purifier mask at Rs. 700 each, sales tax at the rate of 10% c. Two strips of Multi Vitamin capsules at Rs. 138 each, sales tax at the rate of 5% d. One bottle of Iron capsules at Rs 380, sales tax at the rate of 4% and baby’s diaper at Rs. 700, sales tax at the rate of 3%.
Question 2: Abram’s father is 5 times older than Abram and Abram himself is twice as old as his brother Tuhin. In three years time, the sum of their ages will be 58. Find out the present age of Abram.