1Solve for x: 5x = 35.
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Answer: x = 7
Divide both sides by 5: x = 35 / 5 = 7.
Divide both sides by 5: x = 35 / 5 = 7.
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Daily Practice › Grade 7 Math › November 1, 2026
Archive · November 1, 2026Grade 7 Math: 10 Free Practice Questions
A brand-new set of Grade 7 math practice questions every single day, with the answer and a full explanation for each one. No account, no paywall — tap an answer to check it.
2Jade has 7 test scores with an average of 29 points. 6 of the scores are 34, 34, 27, 20, 31 and 31. What is the missing score?
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Answer: 26
Step 1: total of all 7 scores if the average is 29 (29 × 7) = 203 Step 2: sum of the 6 known scores (34 + 34 + 27 + 20 + 31 + 31) = 177 Step 3: the missing score (203 − 177) = 26 So the answer is 26 — the missing score.
Step 1: total of all 7 scores if the average is 29 (29 × 7) = 203 Step 2: sum of the 6 known scores (34 + 34 + 27 + 20 + 31 + 31) = 177 Step 3: the missing score (203 − 177) = 26 So the answer is 26 — the missing score.
3A number is decreased by 15, and the result is multiplied by -3, giving -6. What was the original number?
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Answer: 17
Let the number be n. (n - 15) × (-3) = -6, so n - 15 = 2, giving n = 17.
Let the number be n. (n - 15) × (-3) = -6, so n - 15 = 2, giving n = 17.
4Two painters can paint a fence together in 6 hours. Painter A works alone and can paint the entire fence in 10 hours. If Painter A works alone for 4 hours before Painter B joins, approximately how many more hours will it take both painters working together to finish the remaining fence?
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Answer: 3.6 hours
Painter A's rate is 1/10 per hour. In 4 hours alone, A completes 4/10=0.4 of the fence, leaving 0.6 remaining. Combined rate is 1/6 per hour, so time = 0.6 / (1/6) = 3.6 hours.
Painter A's rate is 1/10 per hour. In 4 hours alone, A completes 4/10=0.4 of the fence, leaving 0.6 remaining. Combined rate is 1/6 per hour, so time = 0.6 / (1/6) = 3.6 hours.
5What is 7 × (-12)?
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Answer: -84
Different signs give a negative product: 7 × -12 = -84.
Different signs give a negative product: 7 × -12 = -84.
6What is always true about the sum of two even integers?
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Answer: The sum is always even
Any even integer can be written as 2n. The sum of two even integers, 2n + 2m = 2(n+m), is always divisible by 2, so it is always even.
Any even integer can be written as 2n. The sum of two even integers, 2n + 2m = 2(n+m), is always divisible by 2, so it is always even.
7Evaluate: -5 - (-9) + 2
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Answer: 6
-5 - (-9) = -5 + 9 = 4. Then 4 + 2 = 6.
-5 - (-9) = -5 + 9 = 4. Then 4 + 2 = 6.
8A rectangular prism has a length of 8 cm, width of 5 cm, and height of 3 cm. What is its surface area?
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Answer: 158 cm²
SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 cm².
SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 cm².
9Two stores sell the same bicycle for $250. Store X takes 15% off, then charges 7% tax on the discounted price. Store Y charges 7% tax on the full price first, then takes 15% off the taxed total. How do the two final prices compare?
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Answer: They are equal, both $227.375
Store X: 250x0.85=212.50, x1.07=227.375. Store Y: 250x1.07=267.50, x0.85=227.375. Multiplication order does not change the product, so both equal $227.375.
Store X: 250x0.85=212.50, x1.07=227.375. Store Y: 250x1.07=267.50, x0.85=227.375. Multiplication order does not change the product, so both equal $227.375.
10After a 15% pay cut, an employee's new salary is $42,500. What was the original salary, rounded to the nearest dollar?
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Answer: $50,000
Let original salary be S. After a 15% cut, S × 0.85 = 42,500. S = 42,500 / 0.85 = 50,000.
Let original salary be S. After a 15% cut, S × 0.85 = 42,500. S = 42,500 / 0.85 = 50,000.