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.
Empieza por las lecciones CAEC Mathematics Preparation: Lessons: unos 360 minutos de lectura. Todas las preguntas del test se tratan en las lecciones. Prueba temática 6: Data management and probability
Pregunta 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
Ver respuesta Respuesta: B. 39
Add all five days: 7.5 + 8 + 6 + 9.5 + 8 = 39 hours.
Pregunta 2 de 17
A learner's practice scores are 72, 85, 90, 64 and 89. What is the mean score?
Ver respuesta Respuesta: A. 80
Mean = total ÷ number of values = 400 ÷ 5 = 80.
Pregunta 3 de 17
A store sold shoes in these sizes today: 8, 9, 9, 10, 9, 11, 8, 9, 10. What is the mode?
Ver respuesta Respuesta: B. 9
The mode is the value that appears most often. Size 9 appears 4 times.
Pregunta 4 de 17
Six deliveries took 12, 15, 9, 20, 18 and 11 minutes. What is the median time?
Ver respuesta Respuesta: 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.
Pregunta 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?
Ver respuesta Respuesta: B. 20 °C
Range = highest − lowest = 8 − (−12) = 8 + 12 = 20 °C.
Pregunta 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?
Ver respuesta Respuesta: 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.
Pregunta 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?
Ver respuesta Respuesta: C. $7.00
Mean = 120 ÷ 5 = $24. Median = $17. The outlier ($52) makes the mean $7.00 higher.
Pregunta 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
Ver respuesta Respuesta: D. 25%
Change = 150 − 120 = 30. Percent increase = 30 ÷ 120 × 100 = 25%. Always divide by the starting value.
Pregunta 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
Ver respuesta Respuesta: B. 146.25
Total = 120 + 150 + 135 + 180 = 585. Mean = 585 ÷ 4 = 146.25 calls.
Pregunta 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%
Ver respuesta Respuesta: C. $570.00
Food is 15%: 0.15 × $3,800 = $570.00.
Pregunta 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
Ver respuesta Respuesta: 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.
Pregunta 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
Ver respuesta Respuesta: A. 19
Add the groups from 30 up: 9 + 7 + 3 = 19.
Pregunta 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?
Ver respuesta Respuesta: B. 1/2
Probability = favourable ÷ total = 5 ÷ 10 = 1/2.
Pregunta 14 de 17
You roll a fair six-sided die once. What is the probability of rolling a 2 or a 5?
Ver respuesta Respuesta: C. 1/3
You cannot roll both at once, so the events are mutually exclusive. Add: 1/6 + 1/6 = 2/6 = 1/3.
Pregunta 15 de 17
You flip a coin and roll a six-sided die. What is the probability of getting heads and a 6?
Ver respuesta Respuesta: A. 1/12
The events are independent, so multiply: 1/2 × 1/6 = 1/12.
Pregunta 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?
Ver respuesta Respuesta: A. 4%
Independent events: multiply. 0.20 × 0.20 = 0.04, which is 4%.
Pregunta 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?
Ver respuesta Respuesta: A. 2%
Only one ticket wins, so the events are mutually exclusive. Add: 4/500 + 6/500 = 10/500 = 2%.
Teclado: 1–4 para responder, Intro para la siguiente pregunta.
El examen real: 55% on each CAEC test
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