Focused Practice | AIMS Mathematics

APS–MCQ · Objective practice

Choose a five-question session.

Session 1 · 5 questions

Question 1 of 5

Choose an answer, then check. A retry hint appears after an incorrect attempt. You can change your choice and try again.

QUESTION 01 · UNDERSTAND

A point is somewhere on column 3 of a grid. Which extra clue would identify one position?

Its row numberIts horizontal distance from the same referenceThe total number of columns

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QUESTION 02 · UNDERSTAND

Why does one number locate a point on an agreed number line, but a column number alone does not locate a point on a plane?

A plane always contains more marked pointsA plane allows a second independent direction of movementA number line does not need a reference point

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QUESTION 03 · UNDERSTAND

Two markers have the same row but different columns. Which statement explains their positions?

They coincide because the row matchesThey share a vertical location but differ horizontallyThey differ vertically because their columns differ

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QUESTION 04 · APPLY

Use the grid. Which complete description selects B rather than A or C?

Column first, row second. All markers use the same reference and unit spacing.

Column 3, row 2Column 2 onlyColumn 2, row 3

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QUESTION 05 · APPLY

A seat is in row 6. Seats within each row are numbered from left to right. Which further information is sufficient to find the seat?

The total number of rowsThe seat number within row 6The number of seats in row 6

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Question 1 of 5

Feedback is based on reviewed answer keys, not AI. Completion records correct responses after any retries; it is not an exam mark.

Session 2 · 5 questions

Question 1 of 5

Choose an answer, then check. A retry hint appears after an incorrect attempt. You can change your choice and try again.

QUESTION 01 · ANALYSE

A learner says: ‘Column 4 and a horizontal distance of 4 units from the same zero give two independent clues.’ The grid has one-unit spacing. What is the error?

The two clues repeat the same horizontal informationThe horizontal distance must equal the row numberUsing the same reference makes the clues inconsistent

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QUESTION 02 · ANALYSE

Two maps use the same spacing and directions but different reference points. Both mark a place with horizontal 2, vertical 3. What can you conclude?

The places must coincide because the two numbers matchThe numbers alone do not establish the same physical placeOnly the horizontal positions can differ

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QUESTION 03 · CHALLENGE / TRANSFER

A robot can move only on a fixed straight rail, and its zero point and scale are agreed. Someone says it still needs two coordinates because the rail is drawn on a floor plan. Which reasoning is sound?

One value along the rail is sufficient because the permitted positions have only one independent directionTwo values are required whenever a diagram is drawn on paperNo value is required because the rail fixes the position

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QUESTION 04

Which axis is horizontal in the usual Cartesian plane?

x-axisy-axisNeither

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QUESTION 05

Which axis is vertical?

x-axisy-axisBoth

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Question 1 of 5

Feedback is based on reviewed answer keys, not AI. Completion records correct responses after any retries; it is not an exam mark.

Session 3 · 5 questions

Question 1 of 5

Choose an answer, then check. A retry hint appears after an incorrect attempt. You can change your choice and try again.

QUESTION 01

Where is the origin O?

At any cornerAt the intersection of the axesAt the top of the y-axis

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QUESTION 02

From O, which direction is positive x?

LeftDownRight

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QUESTION 03

Which direction from O is negative y?

DownUpRight

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QUESTION 04

What angle do the two coordinate axes make?

45°90°180°

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QUESTION 05

Tick labels 0, 1, 2, 3 have unequal physical gaps. Is this a correct uniform unit scale?

YesNoOnly on the x-axis

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Question 1 of 5

Feedback is based on reviewed answer keys, not AI. Completion records correct responses after any retries; it is not an exam mark.

Session 4 · 5 questions

Question 1 of 5

Choose an answer, then check. A retry hint appears after an incorrect attempt. You can change your choice and try again.

QUESTION 01

What label is usually used for the common zero point?

Oxy

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QUESTION 02

The y-axis is present but the x-axis is missing. What is missing from the frame?

The vertical referenceThe horizontal referenceThe whole idea of zero

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QUESTION 03

Which pair gives the usual positive directions?

Left and upRight and downRight and up

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QUESTION 04 · UNDERSTAND

In the ordered pair

(- 3, 2)

, which value is the horizontal coordinate?

2−33

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QUESTION 05 · UNDERSTAND

What must be true for every point on the x-axis?

x = 0x and y are equaly = 0

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Question 1 of 5

Feedback is based on reviewed answer keys, not AI. Completion records correct responses after any retries; it is not an exam mark.