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CBSE · Class 9 · Science

Measurement – Foundation of Science (Advanced)

Standard difficulty · 20 questions · 40 marks · Time: 36 minutes

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
A corridor measures 9 lengths of a 20 cm stick. How many lengths of a 30 cm stick will it measure?
  1. 6
  2. 7
  3. 9
  4. 13.5
2.
A force of 750 N, written in the CGS unit (dyne, g cm/s2), is:
  1. 7.5 × 105 dyne
  2. 7.5 × 104 dyne
  3. 7.5 × 107 dyne
  4. 7.5 × 109 dyne
3.
A liquid has a density of 2.4 g/cm3. In kg/m3 this is:
  1. 2,400,000 kg/m3
  2. 240 kg/m3
  3. 2,400 kg/m3
  4. 24 kg/m3
4.
In the MKS system, the unit of mass is the:
  1. kilogram (kg)
  2. foot (ft)
  3. pound (lb)
  4. gram (g)
5.
Measurement is the process of:
  1. writing a quantity without a unit
  2. comparing an unknown quantity with a known standard of the same kind
  3. guessing a quantity by looking at it
  4. comparing two quantities of different kinds
6.
A floor's area is 432 square units when a stick is used as the unit of length. A second stick is 2 times as long. The area in square units of the second stick is:
  1. 108
  2. 864
  3. 216
  4. 1,728
7.
A student estimates a length as 162 cm. A metre scale shows it is 186 cm. The percentage error in the estimate is: (Give the answer to 2 decimal places where needed.)
  1. 12.90%
  2. 25.81%
  3. 14.81%
  4. 24%
8.
Assertion (A): A rod 552 cm long is 5,520 m long.
Reason (R): The numerical value of a quantity is inversely proportional to the size of the unit (n1u1 = n2u2).
  1. Both A and R are true, and R is the correct explanation of A.
  2. Both A and R are true, but R is not the correct explanation of A.
  3. A is true, but R is false.
  4. A is false, but R is true.
Section B — Short answer8 × 2 = 16 marks
9.
A sprinter runs at 40 m/s. Express this speed in km/h.
10.
A bag of flour has a mass of 37 kg. If 1 kg = 2.2 pounds, what is its mass in pounds?
11.
A force of 5,120,000 dyne acts on a trolley. Express it in newtons.
12.
A table is 13 hand-spans long. One hand-span is 21 cm. What is its length in metres? (Use Q = n1u1 = n2u2.)
13.
With a 1-unit stick, a room is 52 units long and 40 units wide. Find its area in square units when a stick 4 units long is used.
14.
The density of a solid is 10,650 kg/m3. Express it in g/cm3.
15.
Dev estimates the height of a door as 833 cm. Its measured height is 900 cm. Find the percentage error in the estimate. (Give the answer to 2 decimal places where needed.)
16.
A book is 34 inches long. If 1 inch = 2.54 cm, find its length in cm.
Section C — Word problems4 × 4 = 16 marks
17.
Three groups measure a classroom floor with sticks of length 1 : 2 : 3 units. With the 1-unit stick it is 18 units long and 36 units wide. (a) What is the length with the 2-unit stick? (b) What is the width with the 3-unit stick? (c) What is the area with the 2-unit stick? (d) How many times the area with the 3-unit stick is the area with the 1-unit stick?
18.
Rice costs Rs 56 per kg. A visitor asks for 44 pounds of rice. (a) Using 1 kg = 2.2 pounds, how many kilograms is that? (b) How much will it cost?
19.
In an estimation game: the blackboard: estimated 256 cm, measured 260 cm; a bench: estimated 196 cm, measured 180 cm; a cupboard: estimated 92 cm, measured 120 cm. Find the percentage error for (a) the blackboard, (b) a bench and (c) a cupboard. (d) Which estimate was the most accurate? Name the object. (Give the answer to 2 decimal places where needed.)
20.
A car moves at 90 km/h and a cheetah runs at 28 m/s. (a) Express the car's speed in m/s. (b) Express the cheetah's speed in km/h. (c) Which is faster? (d) By how many m/s?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 9 · Science

Answer key

Measurement – Foundation of Science (Advanced) · AW-9S-AME-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(a) 6n1u1 = n2u2: n2 = 9 × 20 ÷ 30 = 6
2(c) 7.5 × 107 dyne1 N = 1,000 g × 100 cm/s2 = 105 dyne; 750 × 105
3(c) 2,400 kg/m31 g/cm3 = 1,000 kg/m3 (10−3 kg ÷ 10−6 m3); 2.4 × 1,000
4(a) kilogram (kg)MKS: metre, kilogram, second
5(b) comparing an unknown quantity with a known standard of the same kinda measurement always needs a standard (the unit)
6(a) 108area unit = (stick length)2: 432 ÷ (2)2 = 108
7(a) 12.90%error = |162 − 186| = 24 cm; 24 ÷ 186 × 100
8(d) A is false, but R is true.A is false: 1 m = 100 cm, so 552 ÷ 100 = 5.52, not 5,520. R is true.
9144 km/h× 3,600 ÷ 1,000 = × 18/5: 40 × 18/5
1081.4 pounds37 × 2.2
1151.2 N1 N = 105 dyne; 5,120,000 ÷ 100,000
122.73 m13 × 21 cm = 273 cm; ÷ 100
13130 square units13 × 10; or 2080 ÷ 42
1410.65 g/cm31 g/cm3 = 1,000 kg/m3; 10,650 ÷ 1,000
157.44%|833 − 900| = 67; 67 ÷ 900 × 100
1686.36 cm34 × 2.54
17(a) 9 units; (b) 12 units; (c) 162 square units; (d) 9n2 = n1 × u1/u2: 18 ÷ 2, 36 ÷ 3; area 9 × 18; area unit 9 times larger, so 9 times smaller number
18(a) 20 kg; (b) Rs 1,120(a) 44 ÷ 2.2 = 20; (b) 20 × 56
19(a) 1.54%; (b) 8.89%; (c) 23.33%; (d) blackboardpercentage error = |estimate − measured| ÷ measured × 100; the smallest error is the most accurate
20(a) 25 m/s; (b) 100.8 km/h; (c) the cheetah; (d) 3 m/s(a) 90 × 5/18; (b) 28 × 18/5; compare in the same unit