IB Mathematics AA SL - Revision Ladder
Level 1
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Question 1
[Maximum mark: 6]
Consider an arithmetic sequence
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Find the common difference, . [2]
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Find the th term in the sequence. [2]
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Find the sum of the first terms in the sequence. [2]
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Question 2
[Maximum mark: 5]
The following box-and-whisker plot represents the commute time, in minutes, for a group of workers.
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Write down the median commute time. [1]
The range is minutes, and the interquartile range is minutes.
- Find the value of:
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;
-
. [4]
-
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Question 3
[Maximum mark: 7]
Let , for .
For the graph of , find:
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the -intercept; [2]
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the -intercepts; [2]
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the coordinates of the vertex. [3]
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Question 4
[Maximum mark: 6]
Find the value of each of the following, giving your answer as an integer.
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. [2]
-
. [2]
-
. [2]
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Question 5
[Maximum mark: 5]
In a triangle ABC, cm, cm and .
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Find the area of the triangle. [2]
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Find . [3]
Give your answers correct to significant figures.
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Question 6
[Maximum mark: 5]
Note: In this question, distance is in metres and time is in seconds.
A tennis ball is thrown in the air. Its height above the ground after time is given by
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Find . [2]
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Find the maximum height attained by the ball. [3]
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Question 7
[Maximum mark: 7]
The following Venn diagram shows two events and , where , and . The values of , , and are .
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Write down the value of . [1]
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Find the value of:
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;
-
;
-
. [4]
-
-
Find . [2]
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Question 8
[Maximum mark: 5]
Let . The graph of is shown in the following diagram.
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Find . [2]
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Find the area of the shaded region. [3]
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Question 9
[Maximum mark: 6]
A coffee shop owner believes that the number of coffees they sell on a given day is related to the average temperature of that day. The average temperature , in degrees Celsius, on seven randomly selected days is shown in the following table. The table also shows the number of coffees, , the coffee shop sells on those seven days.
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The relationship between the variables can be modelled by the regression equation .
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Find the value of and the value of .
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To the nearest integer, estimate the number of coffees sold on a day when the average temperature is . [4]
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-
Find the value of , the correlation coefficient. [2]
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Question 10
[Maximum mark: 4]
Expand in descending powers of and simplify your answer.
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