Can you help.me I want to make a question paper for grade 8 topics that I want : number system , ratio and rates , exponents and algebraic expression: ( product ) i want it yo be 50 marks

Here is a Grade 8 Mathematics question paper covering the topics you requested, followed by its memo.

---

GRADE 8 MATHEMATICS ASSESSMENT
Total Marks: 50

Instructions:

1. Answer all questions.
2. Show all your calculations clearly.
3. Write neatly and legibly.

---

Section A: Number System (12 Marks)

Question 1

1.1 Classify each number as Natural (N), Whole (W), Integer (Z), or Rational (Q). Write all applicable classifications.
a) 7 (1 mark)
b) $-3$ (1 mark)
c) 0.25 (1 mark)
d) $\sqrt{16}$ (1 mark)

1.2 Arrange the following numbers in ascending order: $\frac{2}{3}$, 0.6, $-1.5$, 1, $-\frac{1}{2}$. (4 marks)

1.3 Find the Highest Common Factor (HCF) of 36 and 48. (2 marks)

1.4 Calculate: $-8 + 3 \times (-4) - 10 \div 2$. (2 marks)

---

Section B: Ratio and Rates (12 Marks)

Question 2

2.1 Simplify the following ratios:
a) $24 : 36$ (2 marks)
b) $1.5 \text{ m} : 50 \text{ cm}$ (2 marks)

2.2 Divide R180 in the ratio $2:3:4$. (3 marks)

2.3 Increase 75 in the ratio $7:5$. (2 marks)

2.4 A car travels 180 km in 2 hours. How far will it travel in 3.5 hours at the same average speed? (3 marks)

---

Section C: Exponents (13 Marks)

Question 3

3.1 Evaluate:
a) $3^3 - 2^4$ (2 marks)
b) $(-5)^2 + 1^5$ (2 marks)

3.2 Simplify using exponent laws:
a) $x^6 \times x^2$ (1 mark)
b) $\frac{y^9}{y^3}$ (1 mark)
c) $(m^4)^3$ (1 mark)
d) $2a^0 + (3b)^0$ (2 marks)

3.3 Simplify: $(2x^3y^2)^3$ (4 marks)

---

Section D: Algebraic Expressions (Product) (13 Marks)

Question 4

4.1 Find the product of the following:
a) $(5a)(3b)$ (1 mark)
b) $(-2x^2)(4xy)$ (2 marks)

4.2 Expand and simplify:
a) $3(x+4)$ (2 marks)
b) $-2y(y-5)$ (3 marks)
c) $(x+3)(x+7)$ (3 marks)
d) $(2m-1)(m+4)$ (2 marks)

---

---

MEMORANDUM

---

Section A: Number System (12 Marks)

Question 1

1.1 Classify each number as Natural (N), Whole (W), Integer (Z), or Rational (Q).
a) 7 * N, W, Z, Q b) $-3$ * Z, Q c) 0.25 * Q d) $\sqrt{16}$ * N, W, Z, Q

1.2 Arrange the following numbers in ascending order: $\frac{2}{3}$, 0.6, $-1.5$, 1, $-\frac{1}{2}$.