Page 239 - Start Up Mathematics_6

Some NCERT Textbook Questions

1. In a year, Seema earns ` 1,50,000 and saves ` 50,000. Find the ratio of
(a) Money that Seema earns to the money she saves.

(b) Money that she saves to the money she spends.
2. There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers
to the number of students.
3. Cost of the dozen pens is ` 180 and cost of 8 ball pens is ` 56. Find the ratio of the cost of
a pen to the cost of a ball pen.
4. Determine if the following ratios form a proportion. Also, write the middle terms and extreme
terms where the ratios form a proportion.
(a) 25 cm : 1 m and ` 40 : ` 160 (b) 39 litres : 65 litres and 6 bottles : 10 bottles
(c) 2 kg : 80 kg and 25 g : 625 g (d) 200 ml : 2.5 litre and ` 4 : ` 50
5. The temperature dropped 15 degree celsius in the last 30 days. If the rate of temperature
drop remains the same, how many degrees will the temperature drop in the next ten days?

6. Cost of 4 dozens bananas is ` 60. How many bananas can be purchased for ` 12.50?
7. Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per
over?
Exemplar Problems

1. The length and breadth of a steel tape are 10 m and 2.4 cm respectively. The ratio of the
length to the breadth is:
(a) 5 : 1.2 (b) 25 : 6 (c) 625 : 6 (d) 1250 : 3
2. In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be
the total number of marbles in the box?
(a) 18 (b) 19 (c) 21 (d) 22
3. 3 : 33 = 33 : 333 (True/False)

4. Ratio of 5 paise to 25 paise is the same as 20 paise to ___________.
5. Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes respectively for one spin
on their axes. The ratio of the time taken by Saturn and Jupiter in lowest form is ___________.
6. In a design made from tiles each of dimensions 40 cm by 60 cm, find
the ratios of:
(a) the perimeter of shaded portion to the perimeter of the whole
design.
(b) the area of the shaded portion to the area of the unshaded
portion.
7. A tea merchant blends two varieties of tea costing her ` 234 and ` 130 per kg in the ratio of
their costs. If the weight of the mixture is 84 kg, then find the weight of each variety of tea.
8. The earth rotates 360° about its axis in about 24 hours. By how much degree will it rotate
in 2 hours?
9. Shivangi is suffering from anaemia as haemoglobin level in her blood is lower than the normal
range. Doctor advised her to take one iron tablet two times a day. If the cost of 10 tablets is
` 17, then what amount will she be required to pay for her medical bill for 15 days?

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