Ratio and Proportion (Including Sharing in a Ratio) - ICSE STD 7 MATHS Questions - Vidyadip

Question types

Ratio and Proportion (Including Sharing in a Ratio) question types

62 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

62

Questions

5

Question groups

5

Question types

[1 Mark Question Answer]

[2 Mark Question Answer]

[3 marks sum]

[4 marks sum]

[5 marks sum]

Sample Questions

Ratio and Proportion (Including Sharing in a Ratio) questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[1 Mark Question Answer]1 Mark

Find the mean proportional between 3 and 27

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Q 2[1 Mark Question Answer]1 Mark

Find the mean proportional between 16 and 4

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Q 3[1 Mark Question Answer]1 Mark

Find the third proportional of $\frac{1}{7}$ and $\frac{3}{14}$

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Q 4[1 Mark Question Answer]1 Mark

Find the third proportional of 2 m 40 cm and 40 cm

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Q 5[1 Mark Question Answer]1 Mark

Find the third proportional of 27 and 9

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Q 6[2 Mark Question Answer]2 Marks

Find the mean proportional between $\frac{1}{4}$ and $\frac{1}{16}$

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Q 7[2 Mark Question Answer]2 Marks

Find the mean proportional between 0.9 and 2.5

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Q 8[2 Mark Question Answer]2 Marks

Find the third proportional of 1.6 and 0.8

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Q 9[2 Mark Question Answer]2 Marks

Find the third proportional of 1.8 and 0.6

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Q 10[2 Mark Question Answer]2 Marks

Find the fourth proportional of $\frac{1}{3}, \frac{2}{5}$ and 8.4

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Q 11[3 marks sum]3 Marks

Show that 2, 12 and 72 are in continued proportion.

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Q 12[3 marks sum]3 Marks

Find the value of x, when 2.5 : 4 = x : 7.5.

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Q 13[3 marks sum]3 Marks

If x: y - 5 :4 and 2 : x = 3 :8, find the value of y.

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Q 14[3 marks sum]3 Marks

If a : b = 1.5 : 3.5 and b : c = 5 : 6, find a : c.

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Q 15[3 marks sum]3 Marks

If $P: Q=\frac{1}{2}: \frac{1}{3}$ and $Q: R=1 \frac{1}{2}: 1 \frac{1}{3}$, find $P: R$.

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Q 16[4 marks sum]4 Marks

If $1 \frac{1}{4}: 2 \frac{1}{3}=p: q$ and $q: r=4 \frac{1}{2}: 5 \frac{1}{4} ;$ find $p: r$.

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Q 17[4 marks sum]4 Marks

Find the fourth proportional of 4 hours 40 minutes, 1 hour 10 minutes and 16 hours.

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Q 18[4 marks sum]4 Marks

Two numbers are in the ratio 4 : 7. If their L.C.M. is 168, find the numbers.

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Q 19[4 marks sum]4 Marks

A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.

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Q 20[4 marks sum]4 Marks

Three persons start a business and spend Rs. 25,000; Rs. 15,000 atid Rs. 40,000 respectively. Find the share of each out of a profit of Rs. 14,400 in a year

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Q 21[5 marks sum]5 Marks

The sum of three numbers, whose ratios are $3 \frac{1}{3}: 4 \frac{1}{5}: 6 \frac{1}{8}$ is 4917 . Find the numbers.

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Q 22[5 marks sum]5 Marks

A bag contains ₹ 1,600 in the form of ₹ 10 and ₹ 20 notes. If the ratio between the numbers of ₹ 10 and ₹ 20 notes is 2 : 3; find the total number of notes in all.

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