This is an independent preparation course. It is not the official CAEC Mathematics test, is not affiliated with or endorsed by the CAEC Testing Service (Alberta Education and Childcare) or any province or territory, and does not award the Canadian Adult Education Credential. Practice scores here are feedback only, not official CAEC results.
Start with the lessons CAEC Mathematics Preparation: Lessons: about 360 minutes of reading. Every test question is covered in the lessons.
Question 1 of 17
The table shows the hours one employee worked last week. How many hours did they work in total? Day Hours worked Monday 7.5 Tuesday 8 Wednesday 6 Thursday 9.5 Friday 8
Show answer Answer: B. 39
Add all five days: 7.5 + 8 + 6 + 9.5 + 8 = 39 hours.
Question 2 of 17
A learner's practice scores are 72, 85, 90, 64 and 89. What is the mean score? Show answer Answer: A. 80
Mean = total ÷ number of values = 400 ÷ 5 = 80.
Question 3 of 17
A store sold shoes in these sizes today: 8, 9, 9, 10, 9, 11, 8, 9, 10. What is the mode? Show answer Answer: B. 9
The mode is the value that appears most often. Size 9 appears 4 times.
Question 4 of 17
Six deliveries took 12, 15, 9, 20, 18 and 11 minutes. What is the median time? Show answer Answer: C. 13.5 minutes
Sort first: 9, 11, 12, 15, 18, 20. With an even count, the median is the mean of the middle two: (12 + 15) ÷ 2 = 13.5.
Question 5 of 17
The low temperatures for five days were −12 °C, −5 °C, 3 °C, 8 °C and −2 °C. What is the range? Show answer Answer: B. 20 °C
Range = highest − lowest = 8 − (−12) = 8 + 12 = 20 °C.
Question 6 of 17
Five homes on a street sold for $410,000, $425,000, $430,000, $445,000 and $1,900,000. Which measure best shows a typical price? Show answer Answer: A. The median
The $1,900,000 sale is an outlier that pulls the mean up. The median ($430,000) is not affected by it.
Question 7 of 17
Five workers earn $16, $17, $17, $18 and $52 per hour. By how much is the mean wage higher than the median wage? Show answer Answer: C. $7.00
Mean = 120 ÷ 5 = $24. Median = $17. The outlier ($52) makes the mean $7.00 higher.
Question 8 of 17
The table shows a security company's service calls. What was the percent increase from January to February? Month Service calls January 120 February 150 March 135 April 180
Show answer Answer: D. 25%
Change = 150 − 120 = 30. Percent increase = 30 ÷ 120 × 100 = 25%. Always divide by the starting value.
Question 9 of 17
The table shows a security company's service calls. What was the mean number of calls per month? Month Service calls January 120 February 150 March 135 April 180
Show answer Answer: B. 146.25
Total = 120 + 150 + 135 + 180 = 585. Mean = 585 ÷ 4 = 146.25 calls.
Question 10 of 17
A circle graph of a household budget is shown as this table. Take-home pay is $3,800 a month. How much goes to food? Category Share of monthly take-home pay Housing 35% Food 15% Transportation 12% Savings 10% Other 28%
Show answer Answer: C. $570.00
Food is 15%: 0.15 × $3,800 = $570.00.
Question 11 of 17
The table shows hours studied and test scores for six learners. What relationship does the data show? Learner Hours studied Score (%) A 2 52 B 4 61 C 5 66 D 7 74 E 9 83 F 10 88
Show answer Answer: C. A positive relationship: more study hours go with higher scores
As hours go up, scores also go up. On a scatterplot the points would rise from left to right, which is a positive relationship.
Question 12 of 17
A histogram of employee ages is shown as this table. How many employees are 30 or older? Age group Number of employees 20–29 6 30–39 9 40–49 7 50–59 3
Show answer Answer: A. 19
Add the groups from 30 up: 9 + 7 + 3 = 19.
Question 13 of 17
A bag holds 3 red, 5 blue and 2 green marbles. You pick one without looking. What is the probability it is blue? Show answer Answer: B. 1/2
Probability = favourable ÷ total = 5 ÷ 10 = 1/2.
Question 14 of 17
You roll a fair six-sided die once. What is the probability of rolling a 2 or a 5? Show answer Answer: C. 1/3
You cannot roll both at once, so the events are mutually exclusive. Add: 1/6 + 1/6 = 2/6 = 1/3.
Question 15 of 17
You flip a coin and roll a six-sided die. What is the probability of getting heads and a 6? Show answer Answer: A. 1/12
The events are independent, so multiply: 1/2 × 1/6 = 1/12.
Question 16 of 17
A bus is late on 20% of days. Each day is independent. What is the probability it is late on both Monday and Tuesday? Show answer Answer: A. 4%
Independent events: multiply. 0.20 × 0.20 = 0.04, which is 4%.
Question 17 of 17
A raffle sells 500 tickets and draws one winning ticket. You buy 4 tickets and your friend buys 6. What is the probability that one of you wins? Show answer Answer: A. 2%
Only one ticket wins, so the events are mutually exclusive. Add: 4/500 + 6/500 = 10/500 = 2%.
Keyboard: 1–4 to answer, Enter for the next question.
The real test: 55% on each CAEC test
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