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.
Comece pelas lições CAEC Mathematics Preparation: Lessons: cerca de 360 minutos de leitura. Todas as perguntas do teste são abordadas nas lições. Questionário temático 6: Data management and probability
Pergunta 1 de 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
Mostrar resposta Resposta: B. 39
Add all five days: 7.5 + 8 + 6 + 9.5 + 8 = 39 hours.
Pergunta 2 de 17
A learner's practice scores are 72, 85, 90, 64 and 89. What is the mean score?
Mostrar resposta Resposta: A. 80
Mean = total ÷ number of values = 400 ÷ 5 = 80.
Pergunta 3 de 17
A store sold shoes in these sizes today: 8, 9, 9, 10, 9, 11, 8, 9, 10. What is the mode?
Mostrar resposta Resposta: B. 9
The mode is the value that appears most often. Size 9 appears 4 times.
Pergunta 4 de 17
Six deliveries took 12, 15, 9, 20, 18 and 11 minutes. What is the median time?
Mostrar resposta Resposta: 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.
Pergunta 5 de 17
The low temperatures for five days were −12 °C, −5 °C, 3 °C, 8 °C and −2 °C. What is the range?
Mostrar resposta Resposta: B. 20 °C
Range = highest − lowest = 8 − (−12) = 8 + 12 = 20 °C.
Pergunta 6 de 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?
Mostrar resposta Resposta: 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.
Pergunta 7 de 17
Five workers earn $16, $17, $17, $18 and $52 per hour. By how much is the mean wage higher than the median wage?
Mostrar resposta Resposta: C. $7.00
Mean = 120 ÷ 5 = $24. Median = $17. The outlier ($52) makes the mean $7.00 higher.
Pergunta 8 de 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
Mostrar resposta Resposta: D. 25%
Change = 150 − 120 = 30. Percent increase = 30 ÷ 120 × 100 = 25%. Always divide by the starting value.
Pergunta 9 de 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
Mostrar resposta Resposta: B. 146.25
Total = 120 + 150 + 135 + 180 = 585. Mean = 585 ÷ 4 = 146.25 calls.
Pergunta 10 de 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%
Mostrar resposta Resposta: C. $570.00
Food is 15%: 0.15 × $3,800 = $570.00.
Pergunta 11 de 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
Mostrar resposta Resposta: 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.
Pergunta 12 de 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
Mostrar resposta Resposta: A. 19
Add the groups from 30 up: 9 + 7 + 3 = 19.
Pergunta 13 de 17
A bag holds 3 red, 5 blue and 2 green marbles. You pick one without looking. What is the probability it is blue?
Mostrar resposta Resposta: B. 1/2
Probability = favourable ÷ total = 5 ÷ 10 = 1/2.
Pergunta 14 de 17
You roll a fair six-sided die once. What is the probability of rolling a 2 or a 5?
Mostrar resposta Resposta: C. 1/3
You cannot roll both at once, so the events are mutually exclusive. Add: 1/6 + 1/6 = 2/6 = 1/3.
Pergunta 15 de 17
You flip a coin and roll a six-sided die. What is the probability of getting heads and a 6?
Mostrar resposta Resposta: A. 1/12
The events are independent, so multiply: 1/2 × 1/6 = 1/12.
Pergunta 16 de 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?
Mostrar resposta Resposta: A. 4%
Independent events: multiply. 0.20 × 0.20 = 0.04, which is 4%.
Pergunta 17 de 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?
Mostrar resposta Resposta: A. 2%
Only one ticket wins, so the events are mutually exclusive. Add: 4/500 + 6/500 = 10/500 = 2%.
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O exame real: 55% on each CAEC test
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