About this preparation
Хочу зробити діагностичний тест з математики для учня Pamilerin Omolayo, 9 клас, на 55 хвилин, середньої складності. Потрібно зосередитися на графіках: учень ще на дуже базовому рівні, тож завдання мають вести його крок за кроком. Потрібно більше уваги до пояснень і поступове ускладнення.
Syed Tauhid Zuhori
Preparation author
Diagnostic tasks
Below is the full list of tasks with correct answers and explanations. In a lesson the tutor can hide the answers and reveal them after the student tries.
1
Which axis is horizontal on a coordinate plane?
The x-axis
The y-axis
The z-axis
The diagonal axis
Explanation: The x-axis goes left and right, so it is horizontal. The y-axis goes up and down.
2
What is the ordered pair of the point that is 3 units to the right and 2 units up from the origin?
(2, 3)
(3, 2)
(-3, 2)
(3, -2)
Explanation: The first number is the x-coordinate and shows movement left or right. The second number is the y-coordinate and shows movement up or down.
3
Which point lies on the y-axis?
(4, 0)
(0, -5)
(2, 3)
(-1, 4)
Explanation: A point on the y-axis has x = 0. The y-value can be any number.
4
In which quadrant is the point (-2, 5)?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Explanation: Quadrant II has a negative x-coordinate and a positive y-coordinate.
5
Which ordered pair is plotted 1 unit left and 4 units down from the origin?
(1, -4)
(-1, 4)
(-1, -4)
(4, -1)
Explanation: Left means a negative x-value, and down means a negative y-value.
6
Which of these statements about a line graph are true? Select all that apply.
A line graph can show how something changes over time
The points on a line graph are always connected
A line graph is used only for shapes, not data
A line graph can help show trends
Explanation: Line graphs are useful for showing change and trends, and the points are usually connected in order.
7
A graph rises 2 units for every 1 unit it moves to the right. What is the slope?
1/2
2
-2
0
Explanation: Slope is rise over run. Here the rise is 2 and the run is 1, so the slope is 2/1 = 2.
8
Which graph would best show the temperature of a city over 7 days?
A line graph
A circle graph
A pictograph
A number line only
Explanation: A line graph is best for showing change over time, such as temperature across several days.
9
If a point has coordinates (0, 6), where is it located?
On the x-axis
On the y-axis
In Quadrant I
In Quadrant III
Explanation: When x = 0, the point is on the y-axis.
10
Which steps help you plot the point (4, -3)? Select all that apply.
Start at the origin
Move 4 units to the right
Move 3 units up
Move 3 units down
Explanation: To plot (4, -3), begin at the origin, move right 4, then move down 3 because the y-value is negative.
