Numerical Expressions and Patterns Quiz

Grade 5 · Math · Quiz

Test your skills evaluating expressions using order of operations and identifying number patterns.

Questions

What is the value of 24 ÷ 4 + 2 x 3?
1. 11
2. 18
3. 12
4. 6
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Answer: 12
Order of operations: divide and multiply before adding. 24 ÷ 4 = 6 and 2 x 3 = 6, then 6 + 6 = 12.
What is the value of (8 - 3) x (4 + 1)?
1. 20
2. 25
3. 16
4. 40
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Answer: 25
Parentheses first: (8-3) = 5 and (4+1) = 5, then 5 x 5 = 25.
Which expression has the greatest value?
1. 3 + 4 x 2
2. (3 + 4) x 2
3. 3 x 4 + 2
4. 3 x (4 + 2)
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Answer: 3 x (4 + 2)
A: 3+8=11, B: 7x2=14, C: 12+2=14, D: 3x6=18. Option D has the greatest value of 18.
What is the next term in the pattern: 2, 5, 8, 11, ___?
1. 12
2. 13
3. 14
4. 15
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Answer: 14
The pattern increases by 3 each time: 2, 5, 8, 11. Add 3 to 11 to get 14.
Which correctly describes the rule for the pattern: 1, 2, 4, 8, 16?
1. Add 2
2. Add 4
3. Multiply by 2
4. Multiply by 4
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Answer: Multiply by 2
Each term is double the previous one: 1x2=2, 2x2=4, 4x2=8, 8x2=16. The rule is multiply by 2.
How would you write the phrase 'three times the sum of five and four' as a numerical expression?
1. 3 x 5 + 4
2. 3 + 5 x 4
3. 3 x (5 + 4)
4. (3 x 5) + 4
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Answer: 3 x (5 + 4)
'The sum of five and four' means (5 + 4). 'Three times that sum' means 3 x (5 + 4). Parentheses keep the sum together.
The expressions 12 ÷ (2 + 1) and 12 ÷ 2 + 1 have the same value.
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Answer: False
12 ÷ (2+1) = 12 ÷ 3 = 4. But 12 ÷ 2 + 1 = 6 + 1 = 7. They are different because parentheses change the order of operations.
The value of 50 - 3 x (4 + 2) is ___.
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Answer: 32
Parentheses first: (4+2) = 6. Then multiply: 3 x 6 = 18. Then subtract: 50 - 18 = 32.

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