12 multiple-choice questions, progressively harder.
Evaluate 10−2×310 - 2 \times 310−2×3.
Solution
Correct answer: A
Multiplication comes before subtraction.
10−2×3=10−610 - 2 \times 3 = 10 - 610−2×3=10−6
Then subtract.
10−6=410 - 6 = 410−6=4
Evaluate (5+3)×2(5 + 3) \times 2(5+3)×2.
Correct answer: D
The parentheses settle first.
(5+3)×2=8×2(5 + 3) \times 2 = 8 \times 2(5+3)×2=8×2
Then multiply.
8×2=168 \times 2 = 168×2=16
Evaluate 6+8÷26 + 8 \div 26+8÷2.
Correct answer: B
Division is on a higher tier than addition, so do it first.
6+8÷2=6+46 + 8 \div 2 = 6 + 46+8÷2=6+4
Then add.
6+4=106 + 4 = 106+4=10
Evaluate 12÷3+112 \div 3 + 112÷3+1.
Divide before adding.
12÷3+1=4+112 \div 3 + 1 = 4 + 112÷3+1=4+1
4+1=54 + 1 = 54+1=5
Evaluate 20−(6+4)20 - (6 + 4)20−(6+4).
20−(6+4)=20−1020 - (6 + 4) = 20 - 1020−(6+4)=20−10
20−10=1020 - 10 = 1020−10=10
Evaluate 2×(7−3)2 \times (7 - 3)2×(7−3).
Settle the parentheses first.
2×(7−3)=2×42 \times (7 - 3) = 2 \times 42×(7−3)=2×4
2×4=82 \times 4 = 82×4=8
Evaluate 9+3÷39 + 3 \div 39+3÷3.
Correct answer: C
9+3÷3=9+19 + 3 \div 3 = 9 + 19+3÷3=9+1
9+1=109 + 1 = 109+1=10
Evaluate (8−2)÷3(8 - 2) \div 3(8−2)÷3.
(8−2)÷3=6÷3(8 - 2) \div 3 = 6 \div 3(8−2)÷3=6÷3
Then divide.
6÷3=26 \div 3 = 26÷3=2
Evaluate 5+6×05 + 6 \times 05+6×0.
Multiply before adding.
5+6×0=5+05 + 6 \times 0 = 5 + 05+6×0=5+0
5+0=55 + 0 = 55+0=5
Evaluate 15−4×215 - 4 \times 215−4×2.
Multiply before subtracting.
15−4×2=15−815 - 4 \times 2 = 15 - 815−4×2=15−8
15−8=715 - 8 = 715−8=7
Evaluate (4+6)÷5(4 + 6) \div 5(4+6)÷5.
(4+6)÷5=10÷5(4 + 6) \div 5 = 10 \div 5(4+6)÷5=10÷5
10÷5=210 \div 5 = 210÷5=2
Evaluate 3×4+2×53 \times 4 + 2 \times 53×4+2×5.
Both multiplications are on a higher tier than the addition, so do them first.
3×4+2×5=12+103 \times 4 + 2 \times 5 = 12 + 103×4+2×5=12+10
12+10=2212 + 10 = 2212+10=22
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