Back Class 8 · Mathematics · 10 Aug 2026 Print Preview

Class 8 · Mathematics · 10 Aug 2026

Max marks: 20
Grade Class 8 · Mathematics · 10 questions
Name Class Date
1.
When two parallel railway tracks near Howrah station are intersected by a transversal path, what is the geometric relationship between a pair of alternate interior angles?
[1 mark]
(a)  They are supplementary (sum to 180°)
(b)  They are equal in measure
(c)  They are complementary (sum to 90°)
(d)  They are unrelated
Q.2 Match the Pairs [4 marks]
(a)
Match each angle pair formed by parallel lines and a transversal with its correct geometric property.
[2 marks]
Column AColumn B
1. Corresponding angles a. Equal in measure
2. Alternate exterior angles b. Equal in measure
3. Consecutive interior angles c. Equal in measure
4. Vertically opposite angles d. Supplementary (add to 180°)
Answer
(b)
Match each angle pair created by a transversal intersecting two parallel lines with its geometric property.
[2 marks]
Column AColumn B
1. Alternate interior angles a. Equal in measure
2. Consecutive interior angles b. Equal in measure
3. Corresponding angles c. Supplementary (sum to 180°)
4. Vertically opposite angles d. Equal in measure
Answer
Q.3 Fill in the Blanks [2 marks]
(a)
If two quantities $a$ and $b$ are in direct variation, then their ratio _____ always remains constant.
[1 mark]
(b)
When two quantities $p$ and $q$ vary inversely, their product $p \times q$ is always equal to a constant _____.
[1 mark]
4.
State what happens to the total cost of mangoes if the quantity purchased in kilograms is doubled, assuming the price per kg remains constant.
[1 mark]
5.
Define direct variation in your own words and give a simple everyday example from a school stationery shop in Delhi.
[2 marks]
Q.6 Word Problem [7 marks]
(a)
A school in Jaipur prints report cards for its students. 155 report cards weigh 3.1 kg. If a bundle of report cards weighs 9.3 kg, how many report cards are in that bundle?
[3 marks]
(b)
A local factory in Pune packs sweet boxes for Diwali. 8 workers can pack 320 boxes in a standard shift. Assuming all workers pack at the exact same rate, complete a quick calculation to find how many boxes 14 workers can pack in the same shift.
[4 marks]
7.
Reference — Diagram: AI visual
Refer to the diagram showing two parallel lines cut by a transversal. Identify the angle pairs labeled in standard order: (1) top-left exterior and bottom-left interior on the same side, (2) opposite sides of the transversal between the lines.
[3 marks]
Label the following: 1 2 3 4
Generated by Lumai — 04 November 2026
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Class 8 · Mathematics · 10 Aug 2026 — 20 marks