1 · MATH-5B-C10-REVIEW-Q01
A batch log records 2.52 L and 1.23 L. Calculate their combined quantity and verify by an inverse calculation.
Show worked answer (after attempting)
Answer: 3.75 L
2.52 + 1.23 = 3.75; inverse operation restores 2.52.
Great Inheritance Mathematics Term B · Original independent course
Chapter 10 Review
Formative chapter review. Work independently, then reveal the feedback.
Original assessment
2 · MATH-5B-C10-REVIEW-Q02
A technician starts with 3.75 L after a combined calculation and knows the second value was 1.23 L. Reconstruct the first reading.
Show worked answer (after attempting)
Answer: 2.52 L
Inverse of +: 3.75 − 1.23 = 2.52.
3 · MATH-5B-C10-REVIEW-Q03
A batch log records 2.53 L and 1.24 L. Calculate how much greater the first is and verify by an inverse calculation.
Show worked answer (after attempting)
Answer: 1.29 L
2.53 − 1.24 = 1.29; inverse operation restores 2.53.
4 · MATH-5B-C10-REVIEW-Q04
A technician starts with 1.29 L after a difference calculation and knows the second value was 1.24 L. Reconstruct the first reading.
Show worked answer (after attempting)
Answer: 2.53 L
Inverse of −: 1.29 + 1.24 = 2.53.
5 · MATH-5B-C10-REVIEW-Q05
A chemistry record takes 0.1 of a 4.33 L sample. Find the resulting capacity and say why it is smaller than the original.
Show worked answer (after attempting)
Answer: 0.433 L
4.33 × 0.1 = 0.433; multiplying by a positive proper fraction makes a smaller positive quantity.
6 · MATH-5B-C10-REVIEW-Q06
A diluted sample now measures 0.433 L, which is 0.1 times its original size. Find the original size.
Show worked answer (after attempting)
Answer: 4.33 L
0.433 ÷ 0.1 = 4.33.
7 · MATH-5B-C10-REVIEW-Q07
A chemistry record takes 0.25 of a 4.34 L sample. Find the resulting capacity and say why it is smaller than the original.
Show worked answer (after attempting)
Answer: 1.085 L
4.34 × 0.25 = 1.085; multiplying by a positive proper fraction makes a smaller positive quantity.
8 · MATH-5B-C10-REVIEW-Q08
A diluted sample now measures 1.085 L, which is 0.25 times its original size. Find the original size.
Show worked answer (after attempting)
Answer: 4.34 L
1.085 ÷ 0.25 = 4.34.
9 · MATH-5B-C10-REVIEW-Q09
1.92 liters are shared equally among 4 sample jars. How many liters go in each, to two decimal places?
Show worked answer (after attempting)
Answer: 0.48 L
1.92 ÷ 4 = 0.48 exactly; round or pad to hundredths.
10 · MATH-5B-C10-REVIEW-Q10
Each of 4 sample jars holds 0.48 liters. Find the total and check against the measured 1.92 liters.
Show worked answer (after attempting)
Answer: 1.92 L
0.48 × 4 = 1.92.
11 · MATH-5B-C10-REVIEW-Q11
2.94 liters are shared equally among 6 sample jars. How many liters go in each, to two decimal places?
Show worked answer (after attempting)
Answer: 0.49 L
2.94 ÷ 6 = 0.49 exactly; round or pad to hundredths.
12 · MATH-5B-C10-REVIEW-Q12
Each of 6 sample jars holds 0.49 liters. Find the total and check against the measured 2.94 liters.
Show worked answer (after attempting)
Answer: 2.94 L
0.49 × 6 = 2.94.
13 · MATH-5B-C10-REVIEW-Q13
A 25-meter strip is divided into pieces of 0.1 meter. Find the number of complete pieces.
Show worked answer (after attempting)
Answer: 250 pieces
25 ÷ 0.1 = 250 pieces; multiply back to recover the strip length.
14 · MATH-5B-C10-REVIEW-Q14
A cutter made 250 equal pieces each 0.1 meter long. Reconstruct the original length.
Show worked answer (after attempting)
Answer: 25 m
250 × 0.1 = 25 meters.
15 · MATH-5B-C10-REVIEW-Q15
A 26-meter strip is divided into pieces of 0.25 meter. Find the number of complete pieces.
Show worked answer (after attempting)
Answer: 104 pieces
26 ÷ 0.25 = 104 pieces; multiply back to recover the strip length.
16 · MATH-5B-C10-REVIEW-Q16
A cutter made 104 equal pieces each 0.25 meter long. Reconstruct the original length.
Show worked answer (after attempting)
Answer: 26 m
104 × 0.25 = 26 meters.