Free sample · Grade 3
Mathematics
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5 questions · no timer · the same teaching help as Daily Practice
Fraction Comparison
Which fraction is greater: 23 or 56?
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A strategy for this skill
- Check the denominators. If they differ, rewrite the fractions with a common denominator: multiply each numerator and its denominator by the same number.
- Once the denominators match, the pieces are the same size. Compare the numerators: the larger numerator means the greater fraction.
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A separate practice example
Follow the strategy here. This example has its own information and answer.
- A. 78
- B. None of these 4
- C. 18
- D. 34
- E. 138
- Use 8 as a common denominator.
- Multiply the numerator and denominator of 34 by 2: 34 = 68.
- Now compare 68 and 78.
- Compare the numerators: 7 > 6, so 78 is greater.
Answer to this example only: 78
Back to your question ↑Use 6 as a common denominator. Multiply the numerator and denominator of 23 by 2: 23 = 46. Now compare 46 and 56. Compare the numerators: 5 > 4, so 56 is greater.
Use 6 as a common denominator. Multiply the numerator and denominator of 23 by 2: 23 = 46. Now compare 46 and 56. Compare the numerators: 5 > 4, so 56 is greater.
Use 6 as a common denominator. Multiply the numerator and denominator of 23 by 2: 23 = 46. Now compare 46 and 56. Compare the numerators: 5 > 4, so 56 is greater.
Use 6 as a common denominator. Multiply the numerator and denominator of 23 by 2: 23 = 46. Now compare 46 and 56. Compare the numerators: 5 > 4, so 56 is greater.
Use 6 as a common denominator. Multiply the numerator and denominator of 23 by 2: 23 = 46. Now compare 46 and 56. Compare the numerators: 5 > 4, so 56 is greater.
Fraction Subtraction Word Problems
One whole pan of cornbread is cut into 6 equal pieces. If 4 pieces are eaten, what fraction of the pan is left?
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A strategy for this skill
- Subtract the eaten pieces from the total pieces.
- Write pieces left over total pieces. Both counts refer to the original pan.
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A separate practice example
Follow the strategy here. This example has its own information and answer.
- The whole pan is 4/4.
- After 1 pieces are eaten, 3 pieces remain, so the fraction left is 34.
Answer to this example only: 34
Back to your question ↑The whole pan is 6/6. After 4 pieces are eaten, 2 pieces remain, so the fraction left is 13.
The whole pan is 6/6. After 4 pieces are eaten, 2 pieces remain, so the fraction left is 13.
The whole pan is 6/6. After 4 pieces are eaten, 2 pieces remain, so the fraction left is 13.
The whole pan is 6/6. After 4 pieces are eaten, 2 pieces remain, so the fraction left is 13.
The whole pan is 6/6. After 4 pieces are eaten, 2 pieces remain, so the fraction left is 13.
Money and Change
Mia buys a notebook for $2.75 and pays with $4.00. How much change should she get?
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A strategy for this skill
- Find the total cost first; equal-priced items can be added in groups or multiplied.
- Subtract the cost from the amount paid to find change. Keep dollars and cents lined up.
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A separate practice example
Follow the strategy here. This example has its own information and answer.
- Change is amount paid minus price: $8.00 - $4.25 = $3.75.
Answer to this example only: $3.75
Back to your question ↑Change is amount paid minus price: $4.00 - $2.75 = $1.25.
Change is amount paid minus price: $4.00 - $2.75 = $1.25.
Change is amount paid minus price: $4.00 - $2.75 = $1.25.
Change is amount paid minus price: $4.00 - $2.75 = $1.25.
Change is amount paid minus price: $4.00 - $2.75 = $1.25.
Number strategies
Evaluate 27 + 8 - 8.
Show hint
A strategy for this skill
- Look for a nearby easy number or a pair of operations that undo each other.
- To multiply a sum, multiply each part, then add the products. To multiply a difference, subtract the products.
Show a worked example
A separate practice example
Follow the strategy here. This example has its own information and answer.
- Adding 23 and subtracting 23 undo each other, so the value stays 54.
Answer to this example only: 54
Back to your question ↑Adding 8 and subtracting 8 undo each other, so the value stays 27.
Adding 8 and subtracting 8 undo each other, so the value stays 27.
Adding 8 and subtracting 8 undo each other, so the value stays 27.
Adding 8 and subtracting 8 undo each other, so the value stays 27.
Adding 8 and subtracting 8 undo each other, so the value stays 27.
Logical Deduction Puzzles
Ava, Ben, and Cora each chose a different color: green, purple, red. Ava did not choose red. Ben chose purple. Cora did not choose green. What color did Ava choose?
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A strategy for this skill
- Write down the people or objects and the possible positions or choices.
- Use the definite clues first, then cross out possibilities that break any clue.
- Check the remaining arrangement against every clue.
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A separate practice example
Follow the strategy here. This example has its own information and answer.
- Start with the definite clue: Ava has purple.
- Cora cannot have red, and purple is taken, so Cora has blue.
- The only color left for Ben is red.
Answer to this example only: red
Back to your question ↑Start with the definite clue: Ben has purple. Cora cannot have green, and purple is taken, so Cora has red. The only color left for Ava is green.
Start with the definite clue: Ben has purple. Cora cannot have green, and purple is taken, so Cora has red. The only color left for Ava is green.
Start with the definite clue: Ben has purple. Cora cannot have green, and purple is taken, so Cora has red. The only color left for Ava is green.
Start with the definite clue: Ben has purple. Cora cannot have green, and purple is taken, so Cora has red. The only color left for Ava is green.
Start with the definite clue: Ben has purple. Cora cannot have green, and purple is taken, so Cora has red. The only color left for Ava is green.
Five questions explored
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