Term 3 Unit Test — Class 8 Mathematics
| Time: 1.5 hours | Maximum Marks: 40 |
|---|
Section A — One Mark (8 × 1 = 8)
1. What is the shape of a linear graph? 2. On a distance–time graph, what does a steeper line mean? 3. The graph of y = 5x passes through which quadrants? 4. Write the next two terms of the Fibonacci sequence: 1, 1, 2, 3, 5, 8, ____, ____. 5. What is the y-value of y = 3x + 1 when x = 2? 6. A magic square of order 3 has nine numbers whose rows, columns, and diagonals all sum to ________. 7. On a graph, the intersection of two lines shows ________. 8. Draw a table for y = 2x for x = 0, 1, 2.
Section B — Three Mark Questions (4 × 3 = 12)
9. Draw the graph of y = 3x for x = 0, 1, 2, 3. Read the value of y when x = 1.5. 10. A car travels at a constant speed of 60 km/h. Write an equation for distance d in terms of time t and draw the graph for t = 0 to 4 hours. 11. Find the next three terms of the pattern: 2, 6, 12, 20, 30, ____, ____, ____. 12. Construct a 3 × 3 magic square using numbers 1–9. Verify that each row, column, and diagonal sums to 15.
Section C — Five Mark Questions (4 × 5 = 20)
13. Draw the graphs of y = 2x + 1 and y = x + 3 on the same Cartesian plane. Find their intersection point graphically and verify algebraically.
14. Two cars start from the same place. Car A travels at 40 km/h and Car B travels at 60 km/h in the same direction. Draw a distance–time graph for both cars for 0 to 5 hours. How far apart are they after 3 hours?
15. (a) Write the first 10 terms of the Fibonacci sequence. (b) Find the ratio of the 10th term to the 9th term and compare with the golden ratio (~1.618). (c) Give two examples of Fibonacci numbers in nature.
16. (a) Draw the graph of y = x² for x = −3 to 3 (create a table of values first). (b) Is this graph a straight line or a curve? What type of graph is this? (c) Read the value of y when x = 1.5 from the graph.
Marks Distribution
| Chapter | Approximate Marks |
|---|---|
| Graphs | ~25 marks |
| Information Processing | ~15 marks |
Tip: For graph questions, always use graph paper, label both axes with equal intervals, and write the equation next to the line.