On this page you will find Mathematics Control Tests Assessments and Exam Question papers with memos and answers in pdf for previous years. The tests and exam papers are for term 1 Feb/ March, term 2 May/ June, term 3 August/ September and term 4 November.

Controlled tests as well as exams are used to assess learners’ learning abilities and promotion to the next grade. School-Based assessments are very essential for Grade 7 learners as they indicate clearly what needs to be achieved and to inform the learner about the areas of study that need more attention. This will help improve the standard of their work (read more on why assessments are essential for learners).

Grade 7 Mathematics previous test and exam papers on this page can be used by teachers as a reference and question bank to assess learners. The papers are also useful for learners to do revision work in class or at home.

## Grade 7 Mathematics Questions and Answers

**Question 1: What is the value of 5 x 3 + 8 ÷ 2?**

Answer: The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Using this order, we first solve 8 ÷ 2, which gives us 4. Then we multiply 5 x 3, which gives us 15. Finally, we add 15 and 4 to get the answer: 19.

**Question 2: Simplify the expression 2x + 3x + 4x – 5x.**

Answer: To simplify this expression, we combine like terms. 2x + 3x + 4x = 9x, and 5x is a unlike term. So, 2x + 3x + 4x – 5x = 9x – 5x = 4x.

**Question 3: What is the area of a rectangle with a length of 12 cm and a width of 5 cm?**

Answer: To find the area of a rectangle, we multiply the length by the width. So, the area of this rectangle is 12 cm x 5 cm = 60 cm².

**Question 4: Solve for x: 4x – 8 = 12**

Answer: To solve for x, we first isolate the variable by adding 8 to both sides of the equation: 4x – 8 + 8 = 12 + 8. This simplifies to 4x = 20. Then, we divide both sides of the equation by 4 to solve for x: 4x ÷ 4 = 20 ÷ 4. This simplifies to x = 5.

**Question 5: A school has 320 students. If the ratio of boys to girls is 3:5, how many boys are in the school?**

Answer: Let’s first find the total number of parts in the ratio, which is 3 + 5 = 8. To find the number of boys in the school, we need to divide the total number of students by the total number of parts in the ratio (8), and then multiply by the number of parts that represent boys (3). So, the number of boys in the school is:

(3/8) x 320 = 120

Therefore, there are 120 boys in the school.

**Question 6: A rectangular prism has a length of 8 cm, a width of 4 cm, and a height of 3 cm. What is the volume of the prism?**

Answer: The formula for the volume of a rectangular prism is length x width x height. So, to find the volume of this prism, we multiply its length, width, and height:

8 cm x 4 cm x 3 cm = 96 cm³

Therefore, the volume of the rectangular prism is 96 cubic centimeters.

**Question 7: What is the perimeter of a regular hexagon with a side length of 6 cm?**

Answer: A regular hexagon has six equal sides, so the perimeter is found by multiplying the length of one side by the number of sides (in this case, six). So, the perimeter of this regular hexagon is:

6 cm x 6 = 36 cm

Therefore, the perimeter of the regular hexagon is 36 centimeters.

**Question 8: Solve for x: 2x + 5 = 17**

Answer: To solve for x, we first isolate the variable by subtracting 5 from both sides of the equation: 2x + 5 – 5 = 17 – 5. This simplifies to 2x = 12. Then, we divide both sides of the equation by 2 to solve for x: 2x ÷ 2 = 12 ÷ 2. This simplifies to x = 6.

Therefore, x = 6.

**Question 9: A triangular prism has a base with a height of 8 cm and a base with a width of 6 cm. The height of the prism is 10 cm. What is the volume of the prism?**

Answer: The formula for the volume of a triangular prism is (1/2) x base x height x length. The base of the prism is a triangle with a height of 8 cm and a width of 6 cm, so its area is:

(1/2) x 6 cm x 8 cm = 24 cm²

The height of the prism is 10 cm, so the volume of the prism is:

(1/2) x 24 cm² x 10 cm = 120 cm³

Therefore, the volume of the triangular prism is 120 cubic centimeters.

**Question 10: A pizza has a diameter of 12 inches. What is the circumference of the pizza?**

Answer: The formula for the circumference of a circle is 2 x π x radius. Since the diameter is 12 inches, the radius is half of that, or 6 inches. So, the circumference of the pizza is:

2 x π x 6 in = 12π in

Therefore, the circumference of the pizza is 12π inches (or approximately 37.7 inches).