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Grade 8 Quiz: Calculus — Easy Version 1
Grade 8 · Whoobee Name: ____________________ Date: __________
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.
How to solve
This quiz mixes questions from different lessons, like a real test. Read each question carefully: the lesson name in front tells you what kind of problem it is. Check your answers, then practise the lessons where you made mistakes.
Example
Product Rule of Exponents: 64 · 65 = 6
Answer: 9
Not quite. The answer is
💡 Every factor has the base 8, so keep the base and add the exponents: 2 + 3 = 5. So 82 · 83 = 85, and the missing exponent is 5.
✓ Correct!
Not quite. The answer is
💡 Every factor has the base 8, so keep the base and add the exponents: 2 + 3 = 5. So 82 · 83 = 85, and the missing exponent is 5.
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
76 · 73 = 7
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both powers have the base 3, so keep the base and subtract the bottom exponent from the top one: 11 − 7 = 4. So 31137 = 34, and the missing exponent is 4.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 3, so keep the base and subtract the bottom exponent from the top one: 11 − 7 = 4. So 31137 = 34, and the missing exponent is 4.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
41147 = 4
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Every factor has the base 7, so keep the base and add the exponents: 4 + 6 = 10. So 74 · 76 = 710, and the missing exponent is 10.
✓ Correct!
Not quite. The answer is
💡 Every factor has the base 7, so keep the base and add the exponents: 4 + 6 = 10. So 74 · 76 = 710, and the missing exponent is 10.
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
45 · 43 = 4
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both powers have the base 6, so keep the base and subtract the bottom exponent from the top one: 6 − 4 = 2. So 6664 = 62, and the missing exponent is 2.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 6, so keep the base and subtract the bottom exponent from the top one: 6 − 4 = 2. So 6664 = 62, and the missing exponent is 2.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
81288 = 8
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Every factor has the base 7, so keep the base and add the exponents: 2 + 6 = 8. So 72 · 76 = 78, and the missing exponent is 8.
✓ Correct!
Not quite. The answer is
💡 Every factor has the base 7, so keep the base and add the exponents: 2 + 6 = 8. So 72 · 76 = 78, and the missing exponent is 8.
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
72 · 72 = 7
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 8 − 6 = 2. So 7876 = 72, and the missing exponent is 2.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 8 − 6 = 2. So 7876 = 72, and the missing exponent is 2.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
3734 = 3
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Every factor has the base 6, so keep the base and add the exponents: 6 + 5 = 11. So 66 · 65 = 611, and the missing exponent is 11.
✓ Correct!
Not quite. The answer is
💡 Every factor has the base 6, so keep the base and add the exponents: 6 + 5 = 11. So 66 · 65 = 611, and the missing exponent is 11.
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
42 · 46 = 4
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both powers have the base 8, so keep the base and subtract the bottom exponent from the top one: 9 − 3 = 6. So 8983 = 86, and the missing exponent is 6.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 8, so keep the base and subtract the bottom exponent from the top one: 9 − 3 = 6. So 8983 = 86, and the missing exponent is 6.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
31137 = 3
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Every factor has the base 6, so keep the base and add the exponents: 2 + 3 = 5. So 62 · 63 = 65, and the missing exponent is 5.
✓ Correct!
Not quite. The answer is
💡 Every factor has the base 6, so keep the base and add the exponents: 2 + 3 = 5. So 62 · 63 = 65, and the missing exponent is 5.
💡 How to solve: Product Rule of Exponents
When you multiply powers with the same base, keep the base and add the exponents: x3 · x4 = x7, because that is (x · x · x)(x · x · x · x). With numbers in front, multiply the numbers and add the exponents of each letter separately: (3x4 y)(5x2 y3) = 15x6 y4.
Try a similar one
66 · 66 = 6
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 10 − 5 = 5. So 71075 = 75, and the missing exponent is 5.
✓ Correct!
Not quite. The answer is
💡 Both powers have the base 7, so keep the base and subtract the bottom exponent from the top one: 10 − 5 = 5. So 71075 = 75, and the missing exponent is 5.
💡 How to solve: Quotient Rule of Exponents
When you divide powers with the same base, keep the base and subtract the bottom exponent from the top one: x9 / x4 = x5, because four of the x's cancel. With numbers in front, divide the numbers and subtract the exponents of each letter separately: 12x7 / 3x2 = 4x5. Subtracting a negative exponent adds: x5 / x-3 = x8.
Try a similar one
7873 = 7
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Grade 8 Quiz: Calculus — Easy Version 1
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.