Practise

Question bank

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

TopicSkillDifficulty

12 questions

SA-9709-P5-PC-0061 markL1 FoundationCalculatorSelections

A committee of

4

is to be chosen from

7

men and

5

women. How many different committees are possible?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC3-0011 markL1 FoundationCalculatorSelections

In how many ways can

3

students be chosen from a class of

10

to represent the class?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC3-0022 marksL1 FoundationCalculatorSelections

A team of

5

is chosen from

8

boys and

6

girls. How many teams contain exactly

3

boys and

2

girls?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC-Q011 markL1 FoundationCalculatorSelections

Choosing a team of

5

from

9

players, where order does not matter, uses

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC-0072 marksL2 StandardCalculatorSelections

A committee of

5

is chosen from

7

men and

5

women. How many committees contain exactly

2

women?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC-0083 marksL2 StandardCalculatorSelections

A committee of

4

is chosen from

7

men and

5

women. How many committees include at least one woman?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC-0133 marksL2 StandardCalculatorCounting probability

Three children are chosen at random from

6

boys and

4

girls. Find the probability that exactly

2

girls are chosen.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC3-0033 marksL2 StandardCalculatorSelections

A committee of

4

is chosen from

6

men and

4

women. How many committees contain more men than women?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC3-0043 marksL2 StandardCalculatorCounting probability

Four counters are taken at random from a bag containing

5

red and

3

blue counters. Find the probability that exactly

2

of them are blue.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC3-0052 marksL2 StandardCalculatorSelections

A committee of

5

is chosen from

10

people, one of whom is Ali. How many committees include Ali?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC3-0062 marksL2 StandardCalculatorCounting probability

Three cards are chosen at random from ten cards numbered

1

10

. Find the probability that all three numbers are even.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PC-0093 marksL3 ExamCalculatorSelections

A committee of

4

is chosen from

12

people. Two of the people refuse to serve together. How many committees are possible?

Salam Academy Original Practice · Proposed mark scheme