18 Questions
In a sale, if normal prices are reduced by 35%, and the normal price of a sofa is $3800, what is the sale price of the sofa?
2470
Write 2.4 × 10^-5 as an ordinary number.
0.000024
Calculate (4.3 × 10^3) × (5.1 × 10^6) and give the answer in standard form.
2.193 × 10^10
Simplify (2𝑥^3𝑦^5)^3.
8x^9y^15
Find the value of 4𝑘^0 where 𝑘 > 0.
4
If 𝐻 is inversely proportional to the square of 𝑣, and 𝐻 = 15 when 𝑣 = 4, what is the formula for 𝐻 in terms of 𝑣?
H = 240/v^2
Expand (𝑥 − 5)(𝑥 + 4).
x^2 - x - 20
Factorise fully 20𝑥^2𝑦^5 + 15𝑥^3𝑦^2.
5x^3y^2(4y^3 + 3x)
Given a cylinder with a diameter of 8 cm and a length of 12 cm, what is the curved surface area of the cylinder to 3 significant figures?
301.592 cm^2
Find the circumference of a curved shape with a radius of 2TWh.
12π
Calculate the correct expression for 96π.
96π
Determine the length of BC in similar triangles ABC and DEF with a scale factor of 9:5 given AC = 21.6 and DF = 12.
27
Calculate the bearing of Iceland from London if the bearing of London from Iceland is 138°.
318°
Find the area of the shaded shape ABCD (formed from semicircle ABC and right-angled triangle ACD) with AC as the diameter of the semicircle and r = 4.
85.1 cm²
Calculate the area of one of Mike's rectangular tiles if the rectangular arrangement has a total area of 10 cm², and the length is twice the width.
10 cm²
What is the probability that Dex takes a Caramel cookie from the box?
0
What is the probability that Dex takes an Oreo cookie or a Chocolate cookie from the box?
0.55
Compute the perimeter of isosceles triangle ABC with lengths 8.5 cm, 8.5 cm, and 11.1 cm.
39.15 cm
Study Notes
End of Year Assessment - Grade 8 Mathematics
- The assessment is worth 50 marks and should be completed within 60 minutes.
- The assessment consists of 15 questions, and students must answer all questions.
- Students are advised to read each question carefully, check their answers if they have time, and manage their time wisely.
Formulae Sheet
- The formulae sheet provides essential formulas for the assessment, including:
- Area of trapezium: (a + b)h
- Volume of prism: area of cross section × length
- Volume of cylinder: πr²h
- Curved surface area of cylinder: 2πrh
Questions
- Question 1: Calculate the sale price of a sofa after a 35% discount.
- Question 2: Simplify an expression and calculate the product of two numbers in standard form.
- Question 3: Simplify an algebraic expression and find the value of a variable.
- Question 4: Calculate the mean of a set of numbers.
- Question 5: Find a formula for H in terms of v, given that H is inversely proportional to the square of v.
- Question 6: Expand and factorize algebraic expressions.
- Question 7: Complete a table of values and draw a graph for a quadratic equation.
- Question 8: Construct the bisector of an angle using a ruler and compasses.
- Question 9: Calculate the curved surface area of a cylinder.
- Question 10: Find the length of a side in a similar triangle.
- Question 11: Calculate the bearing of a location from a given bearing.
- Question 12: Calculate the area of a shaded shape composed of a semicircle and a right-angled triangle.
- Question 13: Find the area of a rectangular tile in a larger rectangle.
- Question 14: Calculate the probability of drawing a certain type of cookie from a box.
- Question 15: Calculate the perimeter of an isosceles triangle given certain lengths and angles.
Key Concepts
- Algebraic expressions and equations
- Geometry, including angles, triangles, and circles
- Probability and statistics
- Calculating means, percentages, and surface areas
- Using formulas and simplifying expressions
This 60-minute assessment is for Grade 8 students to evaluate their understanding of mathematics concepts. It consists of multiple questions that require problem-solving skills and step-by-step calculations.
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