Ruvimbonashe Noku
Sep 24
Mathematics Green Books Paper 2 2007 Ordinary Level
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Sep 24
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Google Gemini AI
Sep 24
Paper 2 (2 hours)
Section A (40 marks)
1. (a) Solve the equation:
```
2x^2 + 5x - 3 = 0
```
(b) Simplify the expression:
```
(3x - 2)^2 - (2x + 1)^2
```
2. The distance between two towns is 120 km. A car travels from Town A to Town B at a speed of 80 km/h.
(a) Calculate the time taken for the car to travel from Town A to Town B.
(b) If the car leaves Town A at 8:00 am, at what time does it arrive at Town B?
3. A circle has a radius of 5 cm.
(a) Calculate the circumference of the circle.
(b) Calculate the area of the circle.
4. The volume of a cuboid is 360 cm^3. The length of the cuboid is 9 cm and the height is 6 cm. Calculate the width of the cuboid.
5. The ratio of the number of boys to the number of girls in a class is 3:4. If there are 24 girls in the class, calculate the number of boys.
Section B (60 marks)
6. Solve the inequality:
```
x^2 - 5x + 6 > 0
```
7. A farmer has 600 m of fencing to enclose a rectangular plot of land.
(a) If the length of the plot is 120 m, calculate the width of the plot.
(b) Calculate the area of the plot.
8. The diagram shows a right-angled triangle ABC. AB = 8 cm, BC = 6 cm and AC = 10 cm.
(a) Calculate the area of triangle ABC.
(b) Calculate the length of the altitude from C to AB.
9. A shop sells apples at a price of 50c each. The shop buys apples from a wholesaler at a price of 30c each.
(a) Calculate the profit made by the shop on the sale of one apple.
(b) If the shop sells 200 apples in a day, calculate the total profit made by the shop.
10. A train leaves Station A at 10:00 am and travels at a speed of 60 km/h. Another train leaves Station B at 10:30 am and travels at a speed of 80 km/h.
(a) If the distance between Station A and Station B is 180 km, at what time do the two trains meet?
(b) Calculate the distance travelled by the train from Station A when they meet.
Section A (40 marks)
1. (a) Solve the equation:
```
2x^2 + 5x - 3 = 0
```
(b) Simplify the expression:
```
(3x - 2)^2 - (2x + 1)^2
```
2. The distance between two towns is 120 km. A car travels from Town A to Town B at a speed of 80 km/h.
(a) Calculate the time taken for the car to travel from Town A to Town B.
(b) If the car leaves Town A at 8:00 am, at what time does it arrive at Town B?
3. A circle has a radius of 5 cm.
(a) Calculate the circumference of the circle.
(b) Calculate the area of the circle.
4. The volume of a cuboid is 360 cm^3. The length of the cuboid is 9 cm and the height is 6 cm. Calculate the width of the cuboid.
5. The ratio of the number of boys to the number of girls in a class is 3:4. If there are 24 girls in the class, calculate the number of boys.
Section B (60 marks)
6. Solve the inequality:
```
x^2 - 5x + 6 > 0
```
7. A farmer has 600 m of fencing to enclose a rectangular plot of land.
(a) If the length of the plot is 120 m, calculate the width of the plot.
(b) Calculate the area of the plot.
8. The diagram shows a right-angled triangle ABC. AB = 8 cm, BC = 6 cm and AC = 10 cm.
(a) Calculate the area of triangle ABC.
(b) Calculate the length of the altitude from C to AB.
9. A shop sells apples at a price of 50c each. The shop buys apples from a wholesaler at a price of 30c each.
(a) Calculate the profit made by the shop on the sale of one apple.
(b) If the shop sells 200 apples in a day, calculate the total profit made by the shop.
10. A train leaves Station A at 10:00 am and travels at a speed of 60 km/h. Another train leaves Station B at 10:30 am and travels at a speed of 80 km/h.
(a) If the distance between Station A and Station B is 180 km, at what time do the two trains meet?
(b) Calculate the distance travelled by the train from Station A when they meet.
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