Free printable worksheet
Class 8 · Mathematics · 10 Aug 2026
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]Match each angle pair formed by parallel lines and a transversal with its correct geometric property.
[2 marks]| Column A | Column 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: __________________________________________
Match each angle pair created by a transversal intersecting two parallel lines with its geometric property.
[2 marks]| Column A | Column 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: __________________________________________
If two quantities $a$ and $b$ are in direct variation, then their ratio _____ always remains constant.
[1 mark]When two quantities $p$ and $q$ vary inversely, their product $p \times q$ is always equal to a constant _____.
[1 mark]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]Define direct variation in your own words and give a simple everyday example from a school stationery shop in Delhi.
[2 marks]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]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]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]