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.
Begin met de lessen CAEC Mathematics Preparation: Lessons: ongeveer 360 minuten leestijd. Elke testvraag wordt in de lessen behandeld. Themaquiz 6: Data management and probability
Vraag 1 van 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
Toon antwoord Antwoord: B. 39
Add all five days: 7.5 + 8 + 6 + 9.5 + 8 = 39 hours.
Vraag 2 van 17
A learner's practice scores are 72, 85, 90, 64 and 89. What is the mean score?
Toon antwoord Antwoord: A. 80
Mean = total ÷ number of values = 400 ÷ 5 = 80.
Vraag 3 van 17
A store sold shoes in these sizes today: 8, 9, 9, 10, 9, 11, 8, 9, 10. What is the mode?
Toon antwoord Antwoord: B. 9
The mode is the value that appears most often. Size 9 appears 4 times.
Vraag 4 van 17
Six deliveries took 12, 15, 9, 20, 18 and 11 minutes. What is the median time?
Toon antwoord Antwoord: 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.
Vraag 5 van 17
The low temperatures for five days were −12 °C, −5 °C, 3 °C, 8 °C and −2 °C. What is the range?
Toon antwoord Antwoord: B. 20 °C
Range = highest − lowest = 8 − (−12) = 8 + 12 = 20 °C.
Vraag 6 van 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?
Toon antwoord Antwoord: 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.
Vraag 7 van 17
Five workers earn $16, $17, $17, $18 and $52 per hour. By how much is the mean wage higher than the median wage?
Toon antwoord Antwoord: C. $7.00
Mean = 120 ÷ 5 = $24. Median = $17. The outlier ($52) makes the mean $7.00 higher.
Vraag 8 van 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
Toon antwoord Antwoord: D. 25%
Change = 150 − 120 = 30. Percent increase = 30 ÷ 120 × 100 = 25%. Always divide by the starting value.
Vraag 9 van 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
Toon antwoord Antwoord: B. 146.25
Total = 120 + 150 + 135 + 180 = 585. Mean = 585 ÷ 4 = 146.25 calls.
Vraag 10 van 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%
Toon antwoord Antwoord: C. $570.00
Food is 15%: 0.15 × $3,800 = $570.00.
Vraag 11 van 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
Toon antwoord Antwoord: 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.
Vraag 12 van 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
Toon antwoord Antwoord: A. 19
Add the groups from 30 up: 9 + 7 + 3 = 19.
Vraag 13 van 17
A bag holds 3 red, 5 blue and 2 green marbles. You pick one without looking. What is the probability it is blue?
Toon antwoord Antwoord: B. 1/2
Probability = favourable ÷ total = 5 ÷ 10 = 1/2.
Vraag 14 van 17
You roll a fair six-sided die once. What is the probability of rolling a 2 or a 5?
Toon antwoord Antwoord: C. 1/3
You cannot roll both at once, so the events are mutually exclusive. Add: 1/6 + 1/6 = 2/6 = 1/3.
Vraag 15 van 17
You flip a coin and roll a six-sided die. What is the probability of getting heads and a 6?
Toon antwoord Antwoord: A. 1/12
The events are independent, so multiply: 1/2 × 1/6 = 1/12.
Vraag 16 van 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?
Toon antwoord Antwoord: A. 4%
Independent events: multiply. 0.20 × 0.20 = 0.04, which is 4%.
Vraag 17 van 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?
Toon antwoord Antwoord: A. 2%
Only one ticket wins, so the events are mutually exclusive. Add: 4/500 + 6/500 = 10/500 = 2%.
Toetsenbord: 1–4 om te antwoorden, Enter voor de volgende vraag.
Het echte examen: 55% on each CAEC test
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