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Great Inheritance Mathematics Term B · Original independent course

Chapter 12 Review

Formative chapter review. Work independently, then reveal the feedback.

Original assessment

1 · MATH-5B-C12-REVIEW-Q01

Four data collectors record [18, 20, 22, 24]. Find the mean and explain what fair redistribution means.

Show worked answer (after attempting)
Answer: 21

Total 84 shared equally among 4 yields 21.

2 · MATH-5B-C12-REVIEW-Q02

A claimed mean of 22 is given for [18, 20, 22, 24]. Use a total check to test the claim.

Show worked answer (after attempting)
Answer: Incorrect; 21

4 × 22 is not the actual total 84.

3 · MATH-5B-C12-REVIEW-Q03

Four readings should average 28, but three are [19, 21, 23]. Find the missing reading.

Show worked answer (after attempting)
Answer: 49

Target total is 112; subtract known subtotal 63.

4 · MATH-5B-C12-REVIEW-Q04

The four-readings mean is 28, and the fourth reading is 49. Find the sum of the first three.

Show worked answer (after attempting)
Answer: 63

28 × 4 − 49 = 63.

5 · MATH-5B-C12-REVIEW-Q05

Use one × per observation to draw a line plot of [5, 5, 6, 6, 6, 7]. State the mode.

Show worked answer (after attempting)
Answer: 6 (3 occurrences)

Plot 2 marks at 5, 3 marks at 6, 1 mark at 7.

6 · MATH-5B-C12-REVIEW-Q06

A plot of the six values [5, 5, 6, 6, 6, 7] has only five × marks. What correction must be made?

Show worked answer (after attempting)
Answer: Add the missing sixth mark

One mark per observation, six total.

7 · MATH-5B-C12-REVIEW-Q07

Plot point P at (18, 20) on a first-quadrant grid; describe each movement from the origin.

Show worked answer (after attempting)
Answer: P=(18, 20)

Move 18 on horizontal x, then 20 on vertical y.

8 · MATH-5B-C12-REVIEW-Q08

A student plots (18, 20) by moving 20 right and 18 up. Explain the location error and correct it.

Show worked answer (after attempting)
Answer: (18, 20)

Ordered pairs are (horizontal x, vertical y); movements were swapped.

9 · MATH-5B-C12-REVIEW-Q09

A constant-rate graph shows (0,0), (1,5), (2,10). Assuming the same rate through x=6, find its unit rate and y-value.

Show worked answer (after attempting)
Answer: rate 5; y=30

Slope is 5 per x-unit; y=5×6.

10 · MATH-5B-C12-REVIEW-Q10

A constant-rate line has y=30 at x=6. What is y at x=1?

Show worked answer (after attempting)
Answer: 5

30 ÷ 6 = 5.