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Grade 6 Quiz: Integers & Real Numbers — Easy Version 2
Grade 6 · 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
Integer Operations (Mixed Review): 4 + 2 = ___
Answer: 6
Not quite. The answer is
💡 Zoe got the size right but the sign wrong. Both numbers are negative, so add 10 + 8 = 18 and keep the minus sign: (−10) + (−8) = −18.
✓ Correct!
Not quite. The answer is
💡 Zoe got the size right but the sign wrong. Both numbers are negative, so add 10 + 8 = 18 and keep the minus sign: (−10) + (−8) = −18.
💡 How to solve: Adding Integers
Same signs: add the sizes and keep the sign, so (-4) + (-5) = -9. Different signs: subtract the smaller size from the larger and keep the sign of the number farther from 0, so 7 + (-10) = -3. A number plus its opposite is 0: (-8) + 8 = 0.
Try a similar one
(-7) + (-2) = ___
✓ 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
💡 "Above sea level" means more than zero, so use a positive integer: 30.
✓ Correct!
Not quite. The answer is
💡 "Above sea level" means more than zero, so use a positive integer: 30.
💡 How to solve: Integers, Opposites & the Number Line
Numbers to the right of 0 are positive and numbers to the left are negative. Opposites are the same distance from 0 on opposite sides, like 6 and -6. Words like below, loss, down or debt usually mean a negative number.
Try a similar one
What integer is shown by point A?
✓ 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
💡 First find the difference. Subtracting 1 is the same as adding its opposite: (−10) − 1 = (−10) + (−1). Both numbers are negative, so add 10 + 1 = 11 and keep the minus sign: (−10) + (−1) = −11. −11 is greater than −12, so the answer is >.
✓ Correct!
Not quite. The answer is
💡 First find the difference. Subtracting 1 is the same as adding its opposite: (−10) − 1 = (−10) + (−1). Both numbers are negative, so add 10 + 1 = 11 and keep the minus sign: (−10) + (−1) = −11. −11 is greater than −12, so the answer is >.
💡 How to solve: Subtracting Integers
Subtracting a number is the same as adding its opposite. Keep the first number, change minus to plus, and change the sign of the second number: 5 - (-2) = 5 + 2 = 7, and (-4) - 6 = (-4) + (-6) = -10. Then add using the integer addition rules.
Try a similar one
(-9) - 2 = ___
✓ 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
💡 |−4| = 4 and |−11| = 11, so 4 + 11 = 15.
✓ Correct!
Not quite. The answer is
💡 |−4| = 4 and |−11| = 11, so 4 + 11 = 15.
💡 How to solve: Absolute Value
The absolute value of a number is its distance from 0 on the number line, so it is never negative: |-8| = 8 and |8| = 8. Find each absolute value first, then add, subtract or compare.
Try a similar one
Find |-22|.
✓ 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
💡 Subtracting (−3) is the same as adding its opposite: 6 − (−3) = 6 + 3. Both numbers are positive, so just add: 6 + 3 = 9.
✓ Correct!
Not quite. The answer is
💡 Subtracting (−3) is the same as adding its opposite: 6 − (−3) = 6 + 3. Both numbers are positive, so just add: 6 + 3 = 9.
💡 How to solve: Integer Operations (Mixed Review)
Subtracting a number is the same as adding its opposite, so a - b = a + (-b). When adding, if the signs match, add and keep the sign; if they differ, subtract the smaller size from the larger and keep the sign of the larger. When multiplying, same signs give a positive answer and different signs give a negative answer.
Try a similar one
6 - (-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
💡 Negative numbers are less than positive numbers, and the negative number farthest from 0 is the least. From least to greatest: −4, −3, −1, 1.
✓ Correct!
Not quite. The answer is
💡 Negative numbers are less than positive numbers, and the negative number farthest from 0 is the least. From least to greatest: −4, −3, −1, 1.
💡 How to solve: Comparing & Ordering Rational Numbers
Picture the numbers on a number line: the number farther to the right is greater. Every positive number is greater than every negative number, and among negatives the one closer to 0 is greater, so -2 > -5. Change fractions to decimals when that makes comparing easier.
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Compare using <, >, or =: -12 ___ 10
✓ 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 numbers are negative, so add 8 + 5 = 13 and keep the minus sign: (−8) + (−5) = −13.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so add 8 + 5 = 13 and keep the minus sign: (−8) + (−5) = −13.
💡 How to solve: Adding Integers
Same signs: add the sizes and keep the sign, so (-4) + (-5) = -9. Different signs: subtract the smaller size from the larger and keep the sign of the number farther from 0, so 7 + (-10) = -3. A number plus its opposite is 0: (-8) + 8 = 0.
Try a similar one
(-3) + (-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
💡 The opposite of 28 is the same distance from 0 on the other side of 0: −28.
✓ Correct!
Not quite. The answer is
💡 The opposite of 28 is the same distance from 0 on the other side of 0: −28.
💡 How to solve: Integers, Opposites & the Number Line
Numbers to the right of 0 are positive and numbers to the left are negative. Opposites are the same distance from 0 on opposite sides, like 6 and -6. Words like below, loss, down or debt usually mean a negative number.
Try a similar one
What integer is shown by point A?
✓ 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
💡 Ask what you take away from −6 to get −8. Work it out as (−6) − (−8) = 2. Check: subtracting 2 is the same as adding its opposite: (−6) − 2 = (−6) + (−2). Both numbers are negative, so add 6 + 2 = 8 and keep the minus sign: (−6) + (−2) = −8.
✓ Correct!
Not quite. The answer is
💡 Ask what you take away from −6 to get −8. Work it out as (−6) − (−8) = 2. Check: subtracting 2 is the same as adding its opposite: (−6) − 2 = (−6) + (−2). Both numbers are negative, so add 6 + 2 = 8 and keep the minus sign: (−6) + (−2) = −8.
💡 How to solve: Subtracting Integers
Subtracting a number is the same as adding its opposite. Keep the first number, change minus to plus, and change the sign of the second number: 5 - (-2) = 5 + 2 = 7, and (-4) - 6 = (-4) + (-6) = -10. Then add using the integer addition rules.
Try a similar one
(-3) - 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
💡 Absolute value is the distance from 0. 22 is 22 away from 0, so |22| = 22.
✓ Correct!
Not quite. The answer is
💡 Absolute value is the distance from 0. 22 is 22 away from 0, so |22| = 22.
💡 How to solve: Absolute Value
The absolute value of a number is its distance from 0 on the number line, so it is never negative: |-8| = 8 and |8| = 8. Find each absolute value first, then add, subtract or compare.
Try a similar one
Find |-6|.
✓ 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 6 Quiz: Integers & Real Numbers — Easy Version 2
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.