Measurement – Foundation of Science (Advanced)

CBSE Science. Optional Advanced level: CGS, FPS, MKS and SI units, n₁u₁ = n₂u₂, converting dyne, density and speed, percentage error of estimates. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheet Cheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

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
Answer
(a) 6
n₁u₁ = n₂u₂: n₂ = 9 × 20 ÷ 30 = 6
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
Answer
(c) 7.5 × 10⁷ dyne
1 N = 1,000 g × 100 cm/s² = 10⁵ dyne; 750 × 10⁵
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
Answer
(c) 2,400 kg/m³
1 g/cm³ = 1,000 kg/m³ (10⁻³ kg ÷ 10⁻⁶ m³); 2.4 × 1,000

Section B · short answer

4.
A sprinter runs at 40 m/s. Express this speed in km/h.
Answer
144 km/h
× 3,600 ÷ 1,000 = × 18/5: 40 × 18/5
5.
A bag of flour has a mass of 37 kg. If 1 kg = 2.2 pounds, what is its mass in pounds?
Answer
81.4 pounds
37 × 2.2

Section C · long answer

6.
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?
Answer
(a) 9 units; (b) 12 units; (c) 162 square units; (d) 9
n₂ = n₁ × u₁/u₂: 18 ÷ 2, 36 ÷ 3; area 9 × 18; area unit 9 times larger, so 9 times smaller number

Fresh sheets for your child

In the app, every Measurement – Foundation of Science (Advanced) sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.