NOVEMBER 2022
FINAL EXAM
SCHOOL: GROUP 1 HIGH SCHOOL
SUBJECT: MATHEMATICS
GRADE: 9
ASSESSMENT: FINAL EXAM
MARKS: 100
TIME: 2 HOUR
EXAMINER: M. MBANGATHA & Z. MKHAM
MODERATOR: L. GELA & B. GULUBELA
INSTRUCTIONS
1. Read ALL questions carefully.
2. Answer ALL QUESTIONS on your answer sheet, according to the numbering
system given in this question paper.
3. Show ALL your calculations.
4. A standard, non-programmable calculator may be used.
5. Write neatly and legibly.
(PLEASE TURN OVER)
, 2
1.1 The pattern below was made by placing matches in a strategical manner.
Study the pattern and answer the questions that follow:
Figure 1 Figure 2 Figure 3
1.1.1 Copy and complete the table below by writing (a) to (e) and the number of matches
next to it.
Figure 1 2 3
Number of matches (a) (b) (c)
(3)
1.1.2 Find a formula (general rule) for this pattern in terms of n (3)
1.1.3 Which figure will have exactly 48 matches? Show your working. (2)
1.2 Consider the following pattern: 11; 14; 17; 20…..
1.2.1 What is the number after 20? (1)
1.2.2 Describe the formation of the pattern in words. (2)
1.2.3 Find an expression or formula for this pattern in terms of n (2)
1.2.4 Which term in the pattern is equal to 101? (3)
[16]
(PLEASE TURN OVER)
, 3
QUESTION 2
2.1 given the following expression: 3𝑥 5 − 4𝑥 4 + 8𝑥 2 + 10𝑥 − 11
Answer the following questions:
2.1.1 What is the degree of this expression? (1)
2.1.2 What is the coefficient of 𝑥 4 ? (1)
2.1.3 How many terms are in the expression? (1)
2.1.4 What is the value of the constant? (1)
2.1.5 If x = -3, then what is the value of the expression? (3)
2.2 Expand and Simplify each of the following expressions:
2.2.1 5𝑥 2 × 2𝑥 2 + √144𝑥 2 𝑦 8 (2)
2.2.2 Calculate the area of a rectangle that is 7𝑚2 − 4𝑚 units long
and 7𝑚 units wide. (2)
2.2.3 Simplify the expression below:
24𝑦 3 +30𝑦 2 −48𝑦
(3)
6𝑦
2.3 Factorise the following expressions:
2.3.2 7𝑥 2 + 28𝑥 + 21 (3)
2.4 simplify the following algebraic fraction using factorization:
𝑥 2 −16
(3)
𝑥 2 + 6𝑥 + 8
[20]
(PLEASE TURN OVER)
FINAL EXAM
SCHOOL: GROUP 1 HIGH SCHOOL
SUBJECT: MATHEMATICS
GRADE: 9
ASSESSMENT: FINAL EXAM
MARKS: 100
TIME: 2 HOUR
EXAMINER: M. MBANGATHA & Z. MKHAM
MODERATOR: L. GELA & B. GULUBELA
INSTRUCTIONS
1. Read ALL questions carefully.
2. Answer ALL QUESTIONS on your answer sheet, according to the numbering
system given in this question paper.
3. Show ALL your calculations.
4. A standard, non-programmable calculator may be used.
5. Write neatly and legibly.
(PLEASE TURN OVER)
, 2
1.1 The pattern below was made by placing matches in a strategical manner.
Study the pattern and answer the questions that follow:
Figure 1 Figure 2 Figure 3
1.1.1 Copy and complete the table below by writing (a) to (e) and the number of matches
next to it.
Figure 1 2 3
Number of matches (a) (b) (c)
(3)
1.1.2 Find a formula (general rule) for this pattern in terms of n (3)
1.1.3 Which figure will have exactly 48 matches? Show your working. (2)
1.2 Consider the following pattern: 11; 14; 17; 20…..
1.2.1 What is the number after 20? (1)
1.2.2 Describe the formation of the pattern in words. (2)
1.2.3 Find an expression or formula for this pattern in terms of n (2)
1.2.4 Which term in the pattern is equal to 101? (3)
[16]
(PLEASE TURN OVER)
, 3
QUESTION 2
2.1 given the following expression: 3𝑥 5 − 4𝑥 4 + 8𝑥 2 + 10𝑥 − 11
Answer the following questions:
2.1.1 What is the degree of this expression? (1)
2.1.2 What is the coefficient of 𝑥 4 ? (1)
2.1.3 How many terms are in the expression? (1)
2.1.4 What is the value of the constant? (1)
2.1.5 If x = -3, then what is the value of the expression? (3)
2.2 Expand and Simplify each of the following expressions:
2.2.1 5𝑥 2 × 2𝑥 2 + √144𝑥 2 𝑦 8 (2)
2.2.2 Calculate the area of a rectangle that is 7𝑚2 − 4𝑚 units long
and 7𝑚 units wide. (2)
2.2.3 Simplify the expression below:
24𝑦 3 +30𝑦 2 −48𝑦
(3)
6𝑦
2.3 Factorise the following expressions:
2.3.2 7𝑥 2 + 28𝑥 + 21 (3)
2.4 simplify the following algebraic fraction using factorization:
𝑥 2 −16
(3)
𝑥 2 + 6𝑥 + 8
[20]
(PLEASE TURN OVER)
