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BECE Mathematics Surds Ratio Vectors and Linear Graphs Quiz

Mathematics  ·  20 questions  ·  25 min

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1. Simplify the surd root 50.

2. Simplify the surd root 45.

3. Simplify: 3 root 50 + 2 root 45 - root 2 + root 5

4. A wire of length 38 cm is bent into the shape of a rectangle whose length is 7 cm more than the width. What is the width of the rectangle?

5. A wire of length 38 cm is bent into the shape of a rectangle whose length is 7 cm more than the width. What is the area of the rectangle?

6. 15% of the length of a rope is 720 metres. What is the full length of the rope?

7. 15% of the length of a rope is 720 metres. What is half of the length of the rope?

8. The vectors p and q are such that p has top entry m + 3 and bottom entry 2 minus n while q has top entry 3m minus 1 and bottom entry n minus 8. Given that p = q: what is the value of m?

9. The vectors p and q are such that p has top entry m + 3 and bottom entry 2 minus n while q has top entry 3m minus 1 and bottom entry n minus 8. Given that p = q: what is the value of n?

10. A man shared an amount of money between his children Baaba and William in the ratio 6 : 5. Baaba received GHC 1200.00. How much did William receive?

11. A man shared an amount of money between his children Baaba and William in the ratio 6 : 5. Baaba received GHC 1200.00. What was the total amount shared?

12. A man shared an amount of money between his children Baaba and William in the ratio 6 : 5. Baaba received GHC 1200.00. William invested his share in an account at the rate of 20% simple interest per annum for 2 years. How much interest did he earn?

13. A man shared an amount of money between his children Baaba and William in the ratio 6 : 5. Baaba received GHC 1200.00. William invested his share in an account at the rate of 20% simple interest per annum for 2 years. What was the total amount in his account at the end of the 2 years?

14. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. What is F when C = 5?

15. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. What is F when C = 15?

16. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. What is F when C = 30?

17. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. A graph is drawn with a scale of 2 cm to 10 units on the vertical axis (F). How far up the vertical axis is the point F = 50?

18. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. A graph is drawn with a scale of 2 cm to 5 units on the horizontal axis (C). How far along the horizontal axis is the point C = 20?

19. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. Use the graph or the relation to find the temperature in degrees Celsius when F = 55 degrees.

20. The relation F = (9/5)C + 32 gives the temperature F in degrees Fahrenheit for a temperature C in degrees Celsius. A table of values is made for C = 0 and 5 and 10 and 15 and 20 and 25 and 30 degrees Celsius with F = 32 when C = 0 and F = 68 when C = 20. What does the slope of the graph of this relation tell us?

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