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Class 8 Proportional Reasoning-2 worksheet
CBSE Mathematics. Map scales, three-part ratios, sharing, pie charts, inverse proportion: workers, taps, speed and food. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
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 map has a scale of 1 cm : 2 km. Two places are 13 cm apart on the map. The real distance is:
- 2 km
- 15 km
- 260 km
- 26 km
Answer
(d) 26 km
13 × 2
- 2.
Rs 3546 is shared in the ratio 7 : 5 : 6. The second share is:
- Rs 1,182
- Rs 986
- Rs 985
- Rs 984
Answer
(c) Rs 985
3546 ÷ 18 = 197; × 5
- 3.
On a map, a scale of 1 cm : 5 km means:
- the map is 5 km wide
- 5 cm stands for 1 km
- the map is 1 cm wide
- 1 cm on the map stands for 5 km on the ground
Answer
(d) 1 cm on the map stands for 5 km on the ground
Section B · short answer
- 4.
A map has a scale of 1 cm : 5 km. How far apart on the map are two cities 85 km apart?
Answer
17 cm
85 ÷ 5
- 5.
90 students chose walking (12), bus (52) and cycle (26). Find the angle of each slice of a pie chart.
Answer
48°, 208°, 104°
each student is 360° ÷ 90 = 4°
Section C · long answer
- 6.
On a map with scale 1 cm : 5 km, Isha's route goes 13 cm to one town and then 10 cm to the next. How far is the real trip? At 50 km/h, how long does it take?
Answer
115 km; 2.3 hours
(13 + 10) × 5 = 115; ÷ 50
Fresh sheets for your child
In the app, every Proportional Reasoning-2 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.