Matric Mathematics

Question 1

In the arithmetic sequence 7; 11; 15; 19; ... what is the value of the 20th term?

Accepted Answer

83

Answer

The first term a = 7 and common difference d = 4. Tn = a + (n-1)d, so T20 = 7 + 19(4) = 7 + 76 = 83.

Question 2

If f(x) = 2x^2 - 3x + 1, what is f(-2)?

Accepted Answer

15

Answer

f(-2) = 2(-2)^2 - 3(-2) + 1 = 2(4) + 6 + 1 = 8 + 6 + 1 = 15.

Question 3

Solve for x: log_2(x) = 5.

Accepted Answer

32

Answer

log_2(x) = 5 means 2^5 = x, so x = 32.

Question 4

A car depreciates on a reducing-balance basis at 15% per year. If it is worth R200 000 now, what is it worth after 1 year?

Accepted Answer

R170 000

Answer

Reducing balance: value = 200000 × (1 - 0.15) = 200000 × 0.85 = R170 000.

Question 5

What is the gradient of the line joining the points A(2; 3) and B(6; 11)?

Accepted Answer

2

Answer

Gradient m = (y2 - y1)/(x2 - x1) = (11 - 3)/(6 - 2) = 8/4 = 2.

Matric (NSC) Exam Practice Practice Test