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1Diego has 68 stickers to split among 4 people so that everyone gets an equal share, except one person who gets 4 extra stickers on top of an equal share. How many stickers does that one person end up with?
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Answer: 20
Step 1: what would remain if the extra 4 stickers were set aside first (68 − 4) = 64 Step 2: equal share for each of the 4 people from what's left (64 ÷ 4) = 16 Step 3: what the one person with the extra amount actually receives (16 + 4) = 20 So the answer is 20 — that person's total.
2A pitcher contains 2/3 cup of juice. After pouring out some juice, 1/4 cup remains. How much juice was poured out?
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Answer: 5/12 cup
2/3 - 1/4 = 8/12 - 3/12 = 5/12 cup was poured out.
3The tally chart shows the results of 25 spins of a color spinner. Based on this experimental data, what is the experimental probability of landing on green?
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Answer: 3/25
Green occurred 3 times out of 25 total spins, so the experimental probability is 3/25.
4A box has length 4 inches, width 3 inches, and height 2 inches. What is its volume?
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Answer: 24 cubic inches
Volume = l x w x h = 4 x 3 x 2 = 24 cubic inches.
5Which of the following integers is the smallest?
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Answer: -5
On a number line, -5 lies farthest to the left among these values, making it the smallest.
6A sneakers normally costs $60. The store is having a 10% off sale. Liam has $59 saved up. If Liam buys the sneakers at the sale price, how much money is left over?
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Answer: 5
Step 1: amount taken off the $60 price at 10% off (60 × 10 ÷ 100) = 6 Step 2: the sale price after the discount (60 − 6) = 54 Step 3: money left from the $59 budget after buying it (59 − 54) = 5 So the answer is 5 — money left over after the sale.
7A bag has 12 candies: 4 chocolate, 5 mint, and 3 fruit. What is the probability of NOT picking a mint candy?
9A price of $50 is decreased by 40%. What is the new price?
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Answer: $30
40% of 50 is 20. Subtract it: $30.
10Nora has 7 test scores with an average of 33 points. 6 of the scores are 41, 40, 39, 38, 39 and 29. What is the missing score?
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Answer: 5
Step 1: total of all 7 scores if the average is 33 (33 × 7) = 231 Step 2: sum of the 6 known scores (41 + 40 + 39 + 38 + 39 + 29) = 226 Step 3: the missing score (231 − 226) = 5 So the answer is 5 — the missing score.