# Grade 10 Mathematics 2020 Paper 1

## Question 7

7.1 An entire sample space is made up of two complementary events, S and T, where P(S’) = 0,33. 7.1.1 Complete the statement: P(S) + P(T) = … (1) 7.1.2 Write down the value of P(T). (1) 7.2 A survey was conducted among 180 residents of a small town to establish how many people contracted … Read more

## Question 6

6.1 Sketch the graphs of 𝑓 and 𝑔 on the same set of axes, using the provided diagram sheet. Clearly indicate all intercept points with the x-axis and the y-axis as well as any asymptotes. (6) 6.2 Using your graph, write down the coordinates of the point of intersection of 𝑓 and 𝑔 (where 𝑥 … Read more

## Question 4

4.1 Sylvia wants to buy a Defy dishwasher which is priced at R9 899 by means of a hire purchase agreement. The conditions of the hire purchase agreement are as follows: Sylvia must pay a 30% deposit of the purchase price Interest is charged at 12% per annum simple interest on the balance Compulsory monthly … Read more

## Question 3

Given the linear pattern: 2𝑥 + 2 ; 3𝑥 + 4 ; 5𝑥 + 6 ; … 3.1 If 𝑥 = 0, calculate the numerical value of the fourth term. Hence determine the nth term of the sequence. (4) 3.2 Calculate the value of the 18th term. (2) 3.3 Which term in the sequence will … Read more

## Question 2

2.1 Solve for 𝑥 without the use of a calculator: 2.2 Solve for 𝑥 if: 2.2.1 3(2 – 3𝑥) ≥ 15 (3) 2.2.2 Hence, represent your answer to QUESTION 2.2.1 on a number line. (1) 2.3 Solve simultaneously for 𝑥 and 𝑦:3𝑥 + 2𝑦 = 13 and 3𝑥 = 2 – 𝑦 (4) [17]

## Question 1

1.1 Factorise the following expressions fully: 1.2 Simplify the following expressions fully: 1.3 Given that: 𝑚 = 𝑥(𝑥 − 𝑦 )2Determine the value of m if x𝑦 2 = 4 and 𝑥 3 – 2𝑥 2y = 3 (3) [14]