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1Ben has 47 stickers, Ava has 65 stickers, and Diego has 54 stickers. Ben gives 7 stickers to Diego. After that, how many more stickers does Ava have than Diego?
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Answer: 4
Step 1: Ben's total after giving 7 stickers to Diego (47 − 7) = 40 Step 2: Diego's total after receiving 7 stickers from Ben (54 + 7) = 61 Step 3: difference between Ava's total and Diego's new total (65 − 61) = 4 So the answer is 4 — how many more stickers Ava has than Diego.
2Sofia 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.
3Evaluate: -6 × 4
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Answer: -24
A negative times a positive is negative: -6 × 4 = -24.
4Two angles are complementary. One angle measures 37°. What is the measure of the other angle?
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Answer: 53°
Complementary angles sum to 90°: 90 - 37 = 53°.
5The pictograph shows the marbles in a bag. Two marbles are drawn one at a time without replacement. What is the probability that both marbles drawn are red?
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Answer: 5/14
P(first red) = 5/8. After removing one red marble, 4 red remain out of 7 total marbles. P(second red) = 4/7. P(both red) = 5/8 x 4/7 = 20/56 = 5/14.
6What is the mean of 7, 11, 8, 14, 10?
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Answer: 10
Add the values to get 50 and divide by 5: 10.
7A sequence follows the rule: each term is the previous term plus the position number of that term (starting 1, 2, 3, ...). If the sequence begins 5, 7, 10, 14, ..., what is the 6th term?
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Answer: 25
Term 1 = 5. Term 2 = 5+2=7. Term 3 = 7+3=10. Term 4 = 10+4=14. Term 5 = 14+5=19. Term 6 = 19+6=25.
8A crate weighs 8.2 kilograms. What is its approximate weight in pounds, given 1 kg ≈ 2.2 pounds?
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Answer: about 18.04 pounds
8.2 x 2.2 = 18.04 pounds.