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 – 46)?
- Answer: The expansion is -28 * 3g – (-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 – 11x – 18 = 0?
- Answer: The solutions are x = 11 + √(11^2 + 418) / 2 and x = 11 – √(11^2 + 418) / 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 – 9)?
- Answer: The expansion is k + 2k – 9 = 3k – 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 – 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 – 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
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 – 46)?
Answer: The expansion is -28 * 3g – (-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 – 11x – 18 = 0?
Answer: The solutions are x = 11 + √(11^2 + 418) / 2 and x = 11 – √(11^2 + 418) / 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 – 9)?
Answer: The expansion is k + 2k – 9 = 3k – 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 – 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 – 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.
