FOUNDATION QUESTION BANK

Foundation AI Question Bank

Practise by course knowledge point, then see your marks and worked solutions. Still unsure about a step? Ask AI.

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330+ knowledge points
2000+ questions
English, exam-style wording

Science T1 · Set 3Maths sample

Set score12 / 15

Points to work on

Logarithm lawsPractise 5
Discriminant and rootsPractise 5
Piecewise functionsPractise 5

COURSES

Courses open now

Maths is open now, organised by course module.

Mathematics

Science T1MAS T1
Science T2MAS T2
Business T1MAC T1
Business T2MAC T2
Arts T1MAE T1

CORE FEATURES

Four core features

Course practice

Practise each course module in sets. Every set covers different knowledge points and is marked when you submit.

Topic practice

Pick one knowledge point and practise it on its own. Every point has at least six questions.

Ask AI

Unsure about a solution? One tap and AI explains it, starting from the option you chose.

Question

Sample

Simplify

(2x^3)^2 \times x^{-4}

.

You chose B:

4x^5

Why not option B?

AI answer

Squaring squares both parts: $2^2 = 4$ , and in $(x^3)^2$ the indices multiply, $3 \times 2 = 6$ , not $3 + 2 = 5$ .
Multiplying by $x^{-4}$ keeps the base, so the indices add: $6 + (-4) = 2$ .
The answer is $4x^2$ , option C.

Mistake review

Wrong questions come back after 1, 3, 7 and 14 days. Get them right in a row and they count as mastered.

Knowledge point progress

UnscannedNot tried yet
WeakGot it wrong
ReviewingRight once on review
MasteredStill right days later

Review reminders

3 due todayRound 2 · in 3 daysMastered 41

Review spacing follows the Ebbinghaus forgetting curve and spaced repetition (Ebbinghaus, 1885; Cepeda et al., 2006). Accuracy on each point is kept over time as a learning curve.

SAMPLE · RESULT VIEW

Results and solutions

Maths sample

WrongBusiness T1 · Pre-requisite · Index laws

Simplify

(2x^3)^2 \times x^{-4}

, giving your answer with positive indices.

A $4x^{10}$
B $4x^5$ Your pick
C $4x^2$ Correct
D $2x^2$

WHY B IS WRONG

The indices were added (3 + 2 = 5) instead of multiplied, and the trailing

x^{-4}

was dropped.

RECALCULATE

$(2x^3)^2 = 2^2 \cdot x^{3\times 2} = 4x^6$
$4x^6 \times x^{-4} = 4x^{6-4}$
$= 4x^2$ , option C

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FAQ

Questions

How much does the bank cost?

Free during the beta for Pluto Academy students whose course has been opened by an advisor.

Is there a time limit?

No. A set is marked only when you submit it.

Are the questions like the exam?

Written to the course knowledge points and exam formats, in English.

Does it work on a phone?

Yes, in the phone browser.