grade10

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]

2.1 Determine the: 2.1.1 Length of PQ. Leave your answer in surd form. (2) 2.1.2 Gradient of PQ (2) 2.1.3 Coordinates of T (2) 2.2 Calculate the: 2.2.1 Area of ΔAQTR (3) 2.2.2 Size of θ, with reasons (2) 2.2.3 Coordinates of S (3) 2.3 Determine, with reasons, the gradient of the line through T … Read more

The line graph below shows test marks out of 10 obtained by a Grade 10 class. 1.1 Complete the frequency column in the table provided in the ANSWER BOOK.     (2) 1.2 How many learners wrote the test? (1) 1.3 Calculate the: 1.3.1 Range for the data (2) 1.3.2 Mean for the test (3) 1.4 Determine … Read more

8.2 The Venn diagrams below represent different scenarios of events A and B. Write down the probability of the shaded region for EACH of the diagrams below 8.3 Which diagram(s) in QUESTIONS 8.2.1, 8.2.2 or 8.2.3 represent mutually exclusive events? (1) [11] TOTAL:100

Read the advertisement below 7.1 Calculate the total amount to be paid over a period of 24 months. (1) 7.2 The monthly instalment, quoted in the advertisement, is calculated on a hire purchase agreement which charges interest of 7,5% p.a. on the cash price of the cellphone. Show that the price of the cellphone is … Read more

6.1 Determine the: 6.1.1 Equation of g (3) 6.1.2 Equation of h, the axis of symmetry of g which has a positive gradient (2) 6.2 Sketch the graphs of g and h on the same system of axes. Clearly show ALL the asymptotes and intercepts with axes. (4) 6.3 Write the equations of the asymptotes … Read more

5.1 Write down the: 5.1.1    Coordinates of D (2) 5.1.2    Range of g (1) 5.2 Calculate the: 5.2.1    Coordinates of A (2) 5.2.2 Values of a and q (4) 5.3 Determine the: 5.3.1 Length of CD (2) 5.3.2 Equation of a straight line through A and D (3) 5. 4 For which values of x … Read more

Samantha is investigating a pattern of dots represented in the diagram below. 4.1 Write down: 4.1.1 The number of dots in the 4th pattern (1) 4.1.2 The number of dots in the 13 th pattern (1) 4.1.3 A formula for the number of dots in the nth pattern (1) 4.2 Hence, or otherwise, calculate the … Read more

Consider the finite linear pattern: 20 ; 17 ; 14 ;… ; -103 3.1 Write down the 4th term of the pattern. (1) 3.2 Determine the expression for the nth term. (2) 3.3 Calculate the number of terms in the sequence. (2) 3.4 Which term is the first to have a negative value? (3) 3.5 … Read more