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1On a number line from 0 to 1, which fraction is located halfway between 0 and 1?
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Answer: 1/2
Halfway between 0 and 1 is the fraction 1/2. Option A (1/4) is one-quarter. Option B (1/3) is one-third. Option D (3/4) is three-quarters. This tests understanding of fractions as positions on a number line.
2Look at the bar graph for Visitors to the Museum. Which category has the most visitors?
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Answer: Monday
"Monday" has the tallest bar, so it has the most visitors (16).
3Number line 9: What number does the marked point show?
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Answer: 40
The number line counts by 5s. The marked point is at 40.
4Noah buys 6 notebooks that cost $7 each and pays with $47. With the change, Noah wants to buy as many extra items as possible at $6 each. How much money does Noah have left after buying as many of those extra items as possible?
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Answer: 5
Step 1: cost of 6 notebooks at $7 each (6 × 7) = 42 Step 2: change from paying $47 (47 − 42) = 5 Step 3: how many extra $6 items the change can buy (5 ÷ 6, whole items only) = 0 Step 4: money left after buying those extra items (5 − 0 × 6) = 5 So the answer is 5 — money left over.
5Which shows 944 written in expanded form?
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Answer: 900 + 40 + 4
944 has 9 hundreds, 4 tens, and 4 ones, so its expanded form is 900 + 40 + 4.
6A store had 343 toys in stock. During a sale, 166 of them were sold. How many toys are left?
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Answer: 177
Subtract the amount sold from the starting total: 343 − 166 = 177.
7Ivy is 20 years younger than Grandpa Lee. If Grandpa Lee was 60 years old 6 years ago, how old is Ivy now?
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Answer: 46 years old
Grandpa Lee is 60 + 6 = 66 now. Ivy is 66 − 20 = 46 years old.
8A thermos contains 721 milliliters (mL) of juice. Carlos drinks 58 mL of it. How many mL of juice are left in the thermos?
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Answer: 663
Subtract the amount used from the starting amount: 721 − 58 = 663 mL.
9What is the point where two sides of a shape meet called?
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Answer: vertex
The correct math term is "vertex."
10Which shows 598 written in expanded form?
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Answer: 500 + 90 + 8
598 has 5 hundreds, 9 tens, and 8 ones, so its expanded form is 500 + 90 + 8.