Podcast
Questions and Answers
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?
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.
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.
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.
Simplify (2𝑥^3𝑦^5)^3.
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Find the value of 4𝑘^0 where 𝑘 > 0.
Find the value of 4𝑘^0 where 𝑘 > 0.
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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?
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?
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Expand (𝑥 − 5)(𝑥 + 4).
Expand (𝑥 − 5)(𝑥 + 4).
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Factorise fully 20𝑥^2𝑦^5 + 15𝑥^3𝑦^2.
Factorise fully 20𝑥^2𝑦^5 + 15𝑥^3𝑦^2.
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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?
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?
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Find the circumference of a curved shape with a radius of 2TWh.
Find the circumference of a curved shape with a radius of 2TWh.
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Calculate the correct expression for 96π.
Calculate the correct expression for 96π.
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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.
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.
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Calculate the bearing of Iceland from London if the bearing of London from Iceland is 138°.
Calculate the bearing of Iceland from London if the bearing of London from Iceland is 138°.
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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.
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.
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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.
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.
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What is the probability that Dex takes a Caramel cookie from the box?
What is the probability that Dex takes a Caramel cookie from the box?
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What is the probability that Dex takes an Oreo cookie or a Chocolate cookie from the box?
What is the probability that Dex takes an Oreo cookie or a Chocolate cookie from the box?
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Compute the perimeter of isosceles triangle ABC with lengths 8.5 cm, 8.5 cm, and 11.1 cm.
Compute the perimeter of isosceles triangle ABC with lengths 8.5 cm, 8.5 cm, and 11.1 cm.
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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
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Description
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.
