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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-4024-AL3-0012 marksL1 FoundationCalculatorInequalities
Solve 3x+2>143x+2>14 and write down the smallest integer that satisfies it.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL3-0061 markL1 FoundationCalculatorInequalities
How many integers xx satisfy −2≤x<3-2\le x<3?

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0012 marksL1 FoundationNon-calculatorInequalities
Find the largest integer xx that satisfies 3x−1≤2x+43x-1\le2x+4.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0022 marksL1 FoundationNon-calculatorInequalities
Find the smallest integer xx that satisfies x3+2>5\dfrac x3+2>5.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0031 markL1 FoundationNon-calculatorRegions
Which point lies in the region y<2xy<2x?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0041 markL1 FoundationCalculatorRegions
The boundary of the region y≥x+2y\ge x+2 should be drawn as
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-Q021 markL1 FoundationCalculatorInequalities
When both sides of an inequality are divided by −2-2, the inequality sign
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0082 marksL2 StandardNon-calculatorInequalities
Solve 5−2x<115-2x<11, and write down the smallest integer that satisfies it.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0093 marksL2 StandardNon-calculatorInequalities
List the integers nn that satisfy −3<2n+1≤7-3<2n+1\le7.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL3-0022 marksL2 StandardCalculatorInequalities
Find the largest integer xx that satisfies 4−3x≥−84-3x\ge-8.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0052 marksL2 StandardNon-calculatorRegions
How many points with integer coordinates satisfy x≥0x\ge0, y≥0y\ge0 and x+y≤2x+y\le2?

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0063 marksL3 ExamNon-calculatorRegions
The region RR is defined by x≥1x\ge1, y≥1y\ge1 and x+y≤5x+y\le5. Find the greatest value of x+2yx+2y for points in RR.

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Salam Academy Original Practice · Proposed mark scheme