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1Which expression is equivalent to -8 + (-3) - (-10)?
2A water tank holds 900 gallons when full. It is currently 40% full. A pump adds water at a rate of 15 gallons per minute. How many minutes will it take for the tank to become completely full?
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Answer: 36 minutes
40% full = 360 gallons. Remaining to fill = 900-360=540 gallons. Time = 540/15=36 minutes.
3Maria has 6 test scores with an average of 35 points. 5 of the scores are 34, 32, 39, 36 and 27. What is the missing score?
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Answer: 42
Step 1: total of all 6 scores if the average is 35 (35 × 6) = 210 Step 2: sum of the 5 known scores (34 + 32 + 39 + 36 + 27) = 168 Step 3: the missing score (210 − 168) = 42 So the answer is 42 — the missing score.
4Sofia has 77 stickers, Liam has 87 stickers, and Grace has 76 stickers. Sofia gives 9 stickers to Grace. After that, how many more stickers does Liam have than Grace?
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Answer: 2
Step 1: Sofia's total after giving 9 stickers to Grace (77 − 9) = 68 Step 2: Grace's total after receiving 9 stickers from Sofia (76 + 9) = 85 Step 3: difference between Liam's total and Grace's new total (87 − 85) = 2 So the answer is 2 — how many more stickers Liam has than Grace.
5Evaluate: -8 + 5
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Answer: -3
-8 + 5 = -3. Combining a negative and positive number, subtract the absolute values (8-5=3) and keep the sign of the larger absolute value (negative).
6A circle has a diameter of 14 cm. What is its circumference? (Use π ≈ 3.14)
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Answer: 43.96 cm
Circumference = πd = 3.14 × 14 = 43.96 cm.
7A bag has 12 marbles and 5 are red. What is the probability of drawing a red marble?
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Answer: 5/12
Probability = favorable ÷ total = 5/12 = 5/12.
10The temperature at 6 a.m. was -4 degrees Fahrenheit. By noon it had risen 15 degrees, and by evening it dropped 6 degrees. What was the evening temperature?
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Answer: 5 degrees F
-4 + 15 = 11 at noon. 11 - 6 = 5 degrees F in the evening.