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. Supplementary (add to 180°)
4. Vertically opposite angles d. Equal in measure
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. Supplementary (sum to 180°)
3. Corresponding angles c. Equal in measure
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 — 10 September 2026
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Class 8 · Mathematics · 10 Aug 2026 — 20 Marks