# Examination Revision Mathematics JSS 2 Second Term Lesson Notes

**Question:**What is the length of an electric pole?**Answer:**An electric pole is 24 meters long.

**Question:**What happens to 25% of the electric pole?**Answer:**25% of the electric pole is driven into the soil.

**Question:**How much of the electric pole remains above the soil?**Answer:**After driving 25% into the soil, 75% of the pole remains above the soil.

**Question:**What is the length of the remaining portion of the pole?**Answer:**The length left after driving 25% into the soil is 75% of 24 meters, which is 18 meters.

**Question:**How do you calculate the volume of a cuboid?**Answer:**The volume of a cuboid is calculated by multiplying its length, breadth, and height.

**Question:**What are the dimensions of the cuboid?**Answer:**The length is 9cm, breadth is 2cm, and height is 5cm.

**Question:**How do you round up a number to 3 decimal places?**Answer:**For rounding up to 3 decimal places, look at the fourth decimal place. If it is 5 or more, increase the third decimal place by 1.

**Question:**What is the result of rounding up 9.3615 to 3 decimal places?**Answer:**Rounding up 9.3615 to 3 decimal places gives 9.362.

**Question:**How do you calculate the perimeter of a rectangle?**Answer:**The perimeter of a rectangle is the sum of all its sides.

**Question:**What is the formula for calculating perimeter?**Answer:**The formula for perimeter of a rectangle is 2 * (length + breadth).

**Question:**What is the perimeter of a rectangle with length 9cm and breadth 3cm?**Answer:**The perimeter is 2 * (9 + 3) = 2 * 12 = 24cm.

**Question:**How do you round up a number to 1 significant figure?**Answer:**To round up to 1 significant figure, look at the first digit. If the next digit is 5 or more, increase the first digit by 1.

**Question:**What is the result of rounding up 15.9945 to 1 significant figure?**Answer:**Rounding up 15.9945 to 1 significant figure gives 20.

**Question:**What is a quadratic equation?**Answer:**A quadratic equation is a polynomial equation of degree 2, containing one variable raised to the power of 2.

**Question:**How do you simplify a quadratic expression?**Answer:**To simplify a quadratic expression, factorize it or solve it for its roots.

**Question:**What is the simplified form of 16xy^2?**Answer:**The simplified form of 16xy^2 is 16xy squared.

**Question:**How do you expand an algebraic expression?**Answer:**To expand an expression, distribute the terms inside the parentheses to all terms outside the parentheses.

**Question:**What is the expansion of -28(3g â€“ 46)?**Answer:**The expansion is -28 * 3g â€“ (-28 * 46) = -84g + 1288.

**Question:**What is the volume of a cube?**Answer:**The volume of a cube is calculated by cubing the length of one side.

**Question:**What is the volume of a cube with side length 7cm?**Answer:**The volume is 7cm * 7cm * 7cm = 343 cubic centimeters.

**Question:**What is commission?**Answer:**Commission is a fee paid to someone for their services, often a percentage of a sale price.

**Question:**How do you calculate commission?**Answer:**Commission is calculated by multiplying the sale price by the commission rate.

**Question:**How much commission does an estate agent earn for selling a house priced at N8,500,000 with a 4% commission rate?**Answer:**The commission earned is N8,500,000 * 0.04 = N340,000.

**Question:**What is simple interest?**Answer:**Simple interest is interest calculated only on the principal amount of a loan or deposit.

**Question:**How is simple interest calculated?**Answer:**Simple interest is calculated using the formula: Interest = Principal * Rate * Time.

**Question:**How much simple interest is earned on #80,000 for 2 and a half years at 4% per annum?**Answer:**The simple interest is #80,000 * 0.04 * 2.5 = #8,000.

**Question:**What is hourly pay?**Answer:**Hourly pay is the amount of money earned per hour of work.

**Question:**If someone is paid N8500 for 5 hours of work, how much do they earn per hour?**Answer:**They earn N8500 divided by 5 hours, which equals N1700 per hour.

**Question:**What is factorization?**Answer:**Factorization is the process of finding the factors of an expression.

**Question:**How do you factorize an expression?**Answer:**Factorization involves finding common factors and rewriting an expression as a product of these factors.

**Question:**What are the factors of -16gh + 8h?**Answer:**The factors are 8h(-2g + 1).

**Question:**How do you solve a quadratic equation?**Answer:**Quadratic equations can be solved by factoring, completing the square, or using the quadratic formula.

**Question:**What is the solution to the quadratic equation x^2 â€“ 11x â€“ 18 = 0?**Answer:**The solutions are x = 11 + âˆš(11^2 + 4*18) / 2 and x = 11 â€“ âˆš(11^2 + 4*18) / 2.

**Question:**How do you expand an algebraic expression?**Answer:**To expand an expression, distribute each term inside the parentheses to every term outside the parentheses.

**Question:**What is the expansion of (k + 2k â€“ 9)?**Answer:**The expansion is k + 2k â€“ 9 = 3k â€“ 9.

**Question:**What is the value of 16xy^2?**Answer:**The value is 16 times x times y squared.

**Question:**What is the value of (-28)(3g â€“ 46)?**Answer:**The value is -28 times 3g minus -28 times 46, which equals -84g + 1288.

**Question:**What is the volume of a cube with side length 7cm?**Answer:**The volume is calculated by cubing the side length, which is 7 * 7 * 7 = 343 cubic centimeters.

**Question:**How do you calculate the cost price?**Answer:**The cost price is the original price of an item before any discounts or additional charges.

**Question:**If Michael sold his bicycle for #4500 and made a loss of 15%, what was the cost price?**Answer:**The cost price can be calculated by dividing the selling price by 1 minus the loss percentage, which is #4500 / (1 â€“ 0.15) = #4500 / 0.85 = #5294.12.

**Question:**How do you calculate petrol consumption?**Answer:**Petrol consumption is calculated by dividing the distance traveled by the fuel efficiency of the vehicle.

**Question:**If a car travels 12km per liter of petrol, how much petrol is used in traveling 504km?**Answer:**The petrol used is 504km / 12km per liter = 42 liters.

**Question:**What is the highest common factor (HCF)?**Answer:**The highest common factor is the largest number that divides two or more numbers without leaving a remainder.

**Question:**What is the HCF of 35, 50, and 65?**Answer:**The HCF is the largest number that divides all three numbers without leaving a remainder, which is 5.

**Question:**What is the lowest common multiple (LCM)?**Answer:**The lowest common multiple is the smallest number that is a multiple of two or more numbers.

**Question:**What is the LCM of 9, 10, 12, and 15?**Answer:**The LCM is the smallest number that is divisible by all four numbers, which is 180.

**Question:**What is the difference between standard form and ordinary form?**Answer:**Standard form is a way of writing numbers as a product of a number between 1 and 10 and a power of 10, while ordinary form is the usual way of writing numbers without exponents.

**Question:**How do you convert a number to standard form?**Answer:**To convert a number to standard form, write it as a product of a number between 1 and 10 and a power of 10.

**Question:**How do you convert a number from standard form to ordinary form?**Answer:**To convert a number from standard form to ordinary form, multiply the first part by the power of 10.

**Question:**How do you find the sum of the LCM and HCF of two numbers?**Answer:**Add the LCM and HCF of the two numbers together to find their sum.

Examination Mathematics JSS 2 Second Term Lesson Notes

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Question: What is the length of an electric pole?

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Answer: An electric pole is 24 meters long.

Question: What happens to 25% of the electric pole?

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Answer: 25% of the electric pole is driven into the soil.

Question: How much of the electric pole remains above the soil?

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Answer: After driving 25% into the soil, 75% of the pole remains above the soil.

Question: What is the length of the remaining portion of the pole?

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Answer: The length left after driving 25% into the soil is 75% of 24 meters, which is 18 meters.

Question: How do you calculate the volume of a cuboid?

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Answer: The volume of a cuboid is calculated by multiplying its length, breadth, and height.

Question: What are the dimensions of the cuboid?

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Answer: The length is 9cm, breadth is 2cm, and height is 5cm.

Question: How do you round up a number to 3 decimal places?

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Answer: For rounding up to 3 decimal places, look at the fourth decimal place. If it is 5 or more, increase the third decimal place by 1.

Question: What is the result of rounding up 9.3615 to 3 decimal places?

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Answer: Rounding up 9.3615 to 3 decimal places gives 9.362.

Question: How do you calculate the perimeter of a rectangle?

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Answer: The perimeter of a rectangle is the sum of all its sides.

Question: What is the formula for calculating perimeter?

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Answer: The formula for perimeter of a rectangle is 2 * (length + breadth).

Question: What is the perimeter of a rectangle with length 9cm and breadth 3cm?

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Answer: The perimeter is 2 * (9 + 3) = 2 * 12 = 24cm.

Question: How do you round up a number to 1 significant figure?

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Answer: To round up to 1 significant figure, look at the first digit. If the next digit is 5 or more, increase the first digit by 1.

Question: What is the result of rounding up 15.9945 to 1 significant figure?

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Answer: Rounding up 15.9945 to 1 significant figure gives 20.

Question: What is a quadratic equation?

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Answer: A quadratic equation is a polynomial equation of degree 2, containing one variable raised to the power of 2.

Question: How do you simplify a quadratic expression?

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Answer: To simplify a quadratic expression, factorize it or solve it for its roots.

Question: What is the simplified form of 16xy^2?

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Answer: The simplified form of 16xy^2 is 16xy squared.

Question: How do you expand an algebraic expression?

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Answer: To expand an expression, distribute the terms inside the parentheses to all terms outside the parentheses.

Question: What is the expansion of -28(3g â€“ 46)?

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Answer: The expansion is -28 * 3g â€“ (-28 * 46) = -84g + 1288.

Question: What is the volume of a cube?

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Answer: The volume of a cube is calculated by cubing the length of one side.

Question: What is the volume of a cube with side length 7cm?

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Answer: The volume is 7cm * 7cm * 7cm = 343 cubic centimeters.

Question: What is commission?

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Answer: Commission is a fee paid to someone for their services, often a percentage of a sale price.

Question: How do you calculate commission?

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Answer: Commission is calculated by multiplying the sale price by the commission rate.

Question: How much commission does an estate agent earn for selling a house priced at N8,500,000 with a 4% commission rate?

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Answer: The commission earned is N8,500,000 * 0.04 = N340,000.

Question: What is simple interest?

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Answer: Simple interest is interest calculated only on the principal amount of a loan or deposit.

Question: How is simple interest calculated?

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Answer: Simple interest is calculated using the formula: Interest = Principal * Rate * Time.

Question: How much simple interest is earned on #80,000 for 2 and a half years at 4% per annum?

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Answer: The simple interest is #80,000 * 0.04 * 2.5 = #8,000.

Question: What is hourly pay?

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Answer: Hourly pay is the amount of money earned per hour of work.

Question: If someone is paid N8500 for 5 hours of work, how much do they earn per hour?

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Answer: They earn N8500 divided by 5 hours, which equals N1700 per hour.

Question: What is factorization?

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Answer: Factorization is the process of finding the factors of an expression.

Question: How do you factorize an expression?

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Answer: Factorization involves finding common factors and rewriting an expression as a product of these factors.

Question: What are the factors of -16gh + 8h?

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Answer: The factors are 8h(-2g + 1).

Question: How do you solve a quadratic equation?

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Answer: Quadratic equations can be solved by factoring, completing the square, or using the quadratic formula.

Question: What is the solution to the quadratic equation x^2 â€“ 11x â€“ 18 = 0?

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Answer: The solutions are x = 11 + âˆš(11^2 + 418) / 2 and x = 11 â€“ âˆš(11^2 + 418) / 2.

Question: How do you expand an algebraic expression?

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Answer: To expand an expression, distribute each term inside the parentheses to every term outside the parentheses.

Question: What is the expansion of (k + 2k â€“ 9)?

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Answer: The expansion is k + 2k â€“ 9 = 3k â€“ 9.

Question: What is the value of 16xy^2?

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Answer: The value is 16 times x times y squared.

Question: What is the value of (-28)(3g â€“ 46)?

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Answer: The value is -28 times 3g minus -28 times 46, which equals -84g + 1288.

Question: What is the volume of a cube with side length 7cm?

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Answer: The volume is calculated by cubing the side length, which is 7 * 7 * 7 = 343 cubic centimeters.

Question: How do you calculate the cost price?

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Answer: The cost price is the original price of an item before any discounts or additional charges.

Question: If Michael sold his bicycle for #4500 and made a loss of 15%, what was the cost price?

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Answer: The cost price can be calculated by dividing the selling price by 1 minus the loss percentage, which is #4500 / (1 â€“ 0.15) = #4500 / 0.85 = #5294.12.

Question: How do you calculate petrol consumption?

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Answer: Petrol consumption is calculated by dividing the distance traveled by the fuel efficiency of the vehicle.

Question: If a car travels 12km per liter of petrol, how much petrol is used in traveling 504km?

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Answer: The petrol used is 504km / 12km per liter = 42 liters.

Question: What is the highest common factor (HCF)?

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Answer: The highest common factor is the largest number that divides two or more numbers without leaving a remainder.

Question: What is the HCF of 35, 50, and 65?

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Answer: The HCF is the largest number that divides all three numbers without leaving a remainder, which is 5.

Question: What is the lowest common multiple (LCM)?

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Answer: The lowest common multiple is the smallest number that is a multiple of two or more numbers.

Question: What is the LCM of 9, 10, 12, and 15?

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Answer: The LCM is the smallest number that is divisible by all four numbers, which is 180.

Question: What is the difference between standard form and ordinary form?

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Answer: Standard form is a way of writing numbers as a product of a number between 1 and 10 and a power of 10, while ordinary form is the usual way of writing numbers without exponents.

Question: How do you convert a number to standard form?

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Answer: To convert a number to standard form, write it as a product of a number between 1 and 10 and a power of 10.

Question: How do you convert a number from standard form to ordinary form?

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Answer: To convert a number from standard form to ordinary form, multiply the first part by the power of 10.

Question: How do you find the sum of the LCM and HCF of two numbers?

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Answer: Add the LCM and HCF of the two numbers together to find their sum.

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