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.
Beginnen Sie mit den Lektionen CAEC Mathematics Preparation: Lessons: etwa 360 Minuten Lesezeit. Jede Testfrage wird in den Lektionen behandelt. Themenquiz 6: Data management and probability
Frage 1 von 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
Antwort anzeigen Antwort: B. 39
Add all five days: 7.5 + 8 + 6 + 9.5 + 8 = 39 hours.
Frage 2 von 17
A learner's practice scores are 72, 85, 90, 64 and 89. What is the mean score?
Antwort anzeigen Antwort: A. 80
Mean = total ÷ number of values = 400 ÷ 5 = 80.
Frage 3 von 17
A store sold shoes in these sizes today: 8, 9, 9, 10, 9, 11, 8, 9, 10. What is the mode?
Antwort anzeigen Antwort: B. 9
The mode is the value that appears most often. Size 9 appears 4 times.
Frage 4 von 17
Six deliveries took 12, 15, 9, 20, 18 and 11 minutes. What is the median time?
Antwort anzeigen Antwort: 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.
Frage 5 von 17
The low temperatures for five days were −12 °C, −5 °C, 3 °C, 8 °C and −2 °C. What is the range?
Antwort anzeigen Antwort: B. 20 °C
Range = highest − lowest = 8 − (−12) = 8 + 12 = 20 °C.
Frage 6 von 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?
Antwort anzeigen Antwort: 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.
Frage 7 von 17
Five workers earn $16, $17, $17, $18 and $52 per hour. By how much is the mean wage higher than the median wage?
Antwort anzeigen Antwort: C. $7.00
Mean = 120 ÷ 5 = $24. Median = $17. The outlier ($52) makes the mean $7.00 higher.
Frage 8 von 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
Antwort anzeigen Antwort: D. 25%
Change = 150 − 120 = 30. Percent increase = 30 ÷ 120 × 100 = 25%. Always divide by the starting value.
Frage 9 von 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
Antwort anzeigen Antwort: B. 146.25
Total = 120 + 150 + 135 + 180 = 585. Mean = 585 ÷ 4 = 146.25 calls.
Frage 10 von 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? Kategorie Share of monthly take-home pay Housing 35% Food 15% Transportation 12% Savings 10% Weiteres 28%
Antwort anzeigen Antwort: C. $570.00
Food is 15%: 0.15 × $3,800 = $570.00.
Frage 11 von 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
Antwort anzeigen Antwort: 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.
Frage 12 von 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
Antwort anzeigen Antwort: A. 19
Add the groups from 30 up: 9 + 7 + 3 = 19.
Frage 13 von 17
A bag holds 3 red, 5 blue and 2 green marbles. You pick one without looking. What is the probability it is blue?
Antwort anzeigen Antwort: B. 1/2
Probability = favourable ÷ total = 5 ÷ 10 = 1/2.
Frage 14 von 17
You roll a fair six-sided die once. What is the probability of rolling a 2 or a 5?
Antwort anzeigen Antwort: C. 1/3
You cannot roll both at once, so the events are mutually exclusive. Add: 1/6 + 1/6 = 2/6 = 1/3.
Frage 15 von 17
You flip a coin and roll a six-sided die. What is the probability of getting heads and a 6?
Antwort anzeigen Antwort: A. 1/12
The events are independent, so multiply: 1/2 × 1/6 = 1/12.
Frage 16 von 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?
Antwort anzeigen Antwort: A. 4%
Independent events: multiply. 0.20 × 0.20 = 0.04, which is 4%.
Frage 17 von 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?
Antwort anzeigen Antwort: A. 2%
Only one ticket wins, so the events are mutually exclusive. Add: 4/500 + 6/500 = 10/500 = 2%.
Tastatur: 1–4 zum Antworten, Eingabetaste für die nächste Frage.
Die echte Prüfung: 55% on each CAEC test
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