Choose a subject or the available combined paper. The 30- and 90-minute timers are practice options, not a claim about the institution’s current format. These original questions are not past papers. Answers stay in this browser; no school grade, coin balance or enrolment changes.
Set 1 of 1 available paper set.
5 written questions: 3 can be checked against the answer key; 2 need a guardian or subject teacher to review. Choose the relevant subjects for your target programme separately.
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Your written questions
Work on paper and enter the requested answer. Explain reasoning in the longer response boxes. Keep your work if you want a teacher to review it.
Passage or question givens
For the fraction (x²−1)/(x−1), consider the original domain as well as any simplified expression. Fair-coin questions assume independent tosses.
Mathematics for the selected science pathway
Model answer and review guidance
2
x²=4; the positive root is 2.
Mathematics for the selected science pathway
Model answer and review guidance
3
10³=1000.
Mathematics for the selected science pathway
Model answer and review guidance
1/4
1/2×1/2=1/4.
Mathematics for the selected science pathway
Model answer and review guidance
At x=1, the denominator is zero, so cancellation does not restore the original domain.
Keep the restriction after simplifying.
Mathematics for the selected science pathway
Model answer and review guidance
3x²+2 gives the local rate of change of the function with respect to x.
Differentiate both terms and define rate.
The automatic result counts exact supported answer-key matches. Other valid wording, working, handwriting and compositions need human review. It is not an overall examination mark or an admission prediction.