AzM2 Grade 5 Math Test 2 — Questions and Answers

Question 1: What is 4,835 ÷ 5?

967 (Correct answer)
956
975
946

Correct answer: 967

4,835 ÷ 5 = 967. Check: 5 × 967 = 4,835.

Performing long division: 4,835 ÷ 5. 48 ÷ 5 = 9 remainder 3. Bring down 3: 33 ÷ 5 = 6 remainder 3. Bring down 5: 35 ÷ 5 = 7. Result: 967. Check: 5 × 967 = 4,835. ✓ Answer A is correct.

Question 2: Which fraction is equivalent to 0.6?

6/100
3/5 (Correct answer)
1/6
2/3

Correct answer: 3/5

0.6 = 6/10 = 3/5 when simplified by dividing both numerator and denominator by 2.

0.6 means 6 tenths = 6/10. Simplify by dividing both by 2: 6/10 = 3/5. Answer B is correct. 6/100 (A) equals 0.06, not 0.6. 1/6 (C) ≈ 0.167. 2/3 (D) ≈ 0.667. Converting decimals to fractions requires placing digits over the correct power of 10, then simplifying.

Question 3: A rectangle has a length of 12 cm and a width of 7 cm. What is the area of the rectangle?

38 cm²
19 cm²
84 cm² (Correct answer)
96 cm²

Correct answer: 84 cm²

Area of rectangle = length × width = 12 × 7 = 84 cm².

Area = length × width = 12 × 7 = 84 cm². Answer C is correct. Answer A (38) is the perimeter: 2(12 + 7) = 2(19) = 38 cm — a common mistake of confusing area with perimeter. Remember: area is measured in square units (cm²), perimeter is measured in linear units (cm).

Question 4: Order these fractions from least to greatest: 2/3, 1/2, 5/6

5/6, 2/3, 1/2
1/2, 2/3, 5/6 (Correct answer)
2/3, 1/2, 5/6
1/2, 5/6, 2/3

Correct answer: 1/2, 2/3, 5/6

Convert to sixths: 1/2 = 3/6, 2/3 = 4/6, 5/6 = 5/6. Order: 3/6 < 4/6 < 5/6, so 1/2 < 2/3 < 5/6.

To order fractions, find a common denominator. The LCD of 3, 2, and 6 is 6. Convert: 1/2 = 3/6, 2/3 = 4/6, 5/6 = 5/6. Compare numerators: 3 < 4 < 5. So the order from least to greatest is 1/2, 2/3, 5/6 (B). Answer A reverses the order. Answers C and D are incorrect orderings.

Question 5: A store sells apples for $0.45 each. Mia buys 8 apples. How much does she spend in total?

$3.20
$3.60 (Correct answer)
$4.05
$3.45

Correct answer: $3.60

Total cost = 0.45 × 8 = $3.60.

Multiply $0.45 × 8: 40 × 8 = 320 cents; 5 × 8 = 40 cents; total = 360 cents = $3.60. Answer B is correct. A ($3.20) would be $0.40 × 8. C ($4.05) is incorrect. D ($3.45) represents $0.45 + some error. Always align decimal points when multiplying money.

Question 6: What is the value of 6³?

18
36
216 (Correct answer)
63

Correct answer: 216

6³ means 6 × 6 × 6 = 36 × 6 = 216.

6³ = 6 × 6 × 6. First: 6 × 6 = 36. Then: 36 × 6 = 216. Answer C is correct. Common errors: 18 (A) = 6 × 3 (multiplying instead of using exponents); 36 (B) = 6² (only squaring); 63 (D) is just reading '6' and '3' as a two-digit number.

AzM2 Grade 5 Math Test 2

What is 4,835 ÷ 5?