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Mathematics · Self Assessment

Practice Test: Algebra & Graphs / Pie Charts

A 100-mark paper covering "Algebra: Basic, Intermediate & Advanced (O-Level Focus)" and "Graphs & Pie Charts" — multiple choice, true/false, fill-in-the-blank, column matching, and short answer, all auto-graded instantly.

EDUSAMBAM Editorial Team · 45 questions · 100 marks · Instant self-assessment

Questions

100

Marks

Sections

100%

Auto-Graded

Section	Questions	Marks Each	Total
A — Multiple Choice	15	2	30
B — True / False	10	2	20
C — Fill in the Blank	10	2	20
D — Column Matching	5 pairs	2	10
E — Short Answer	5	4	20
Total	45	—	100

Fill-in-the-blank and short-answer questions are checked automatically against accepted answers — exact wording doesn't need to match, but the key term should be present.

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Section A — Multiple Choice

30 marks

15 questions · 2 marks each.

1.Expand: (x + 2)(x + 3)Advanced2 pts

A. x² + 5x + 6

B. x² + 6x + 5

C. x² + 5x + 5

D. 2x + 5

2.Factorise: x² + 7x + 12Advanced2 pts

A. (x+3)(x+4)

B. (x+2)(x+6)

C. (x+1)(x+12)

D. (x+6)(x+6)

3.Factorise: x² − 9Advanced2 pts

A. (x−3)(x+3)

B. (x−9)(x+1)

C. (x−3)²

D. (x+9)(x−1)

4.Solve the inequality: x + 3 > 8Advanced2 pts

A. x > 5

B. x > 11

C. x < 5

D. x > 3

5.Simplify: 4x² ÷ 2xIntermediate2 pts

A. 2x

B. 2x²

C. 6x

D. 8x

6.If y = 2x + 1, what is y when x = 3?Intermediate2 pts

A. 5

B. 6

C. 7

D. 9

7.Which expression represents 'a number doubled, then increased by 5'?Intermediate2 pts

A. 2x + 5

B. x + 5 × 2

C. 5x + 2

D. 2(x + 5)

8.Solve: 2x − 3 = x + 5Advanced2 pts

A. x = 2

B. x = 8

C. x = −8

D. x = 5

9.A pie chart is best used to show:Basic2 pts

A. Change over time

B. Parts of a whole as percentages

C. Exact individual values only

D. Correlation between two variables

10.A full pie chart represents a total of:Basic2 pts

A. 100 degrees

B. 360 degrees

C. 180 degrees

D. 100 marks

11.If a pie chart slice takes up 25% of the circle, how many degrees is that?Intermediate2 pts

A. 25°

B. 90°

C. 100°

D. 360°

12.A line graph is most useful for showing:Basic2 pts

A. Categories with no order

B. Trends or change over time

C. Parts of a whole

D. A single value

13.On a bar graph, the height (or length) of each bar represents:Basic2 pts

A. The category name

B. The value or frequency

C. The color

D. The x-axis label

14.The horizontal axis of a graph is usually called the:Basic2 pts

A. y-axis

B. x-axis

C. z-axis

D. origin

15.In a class of 40 students, 10 chose football as their favourite sport. What percentage is this?Intermediate2 pts

A. 10%

B. 20%

C. 25%

D. 40%

Section B — True / False

20 marks

10 questions · 2 marks each.

16.Factorising is the reverse process of expanding brackets.Intermediate2 pts

True

False

17.(x + 2)(x + 2) is the same as x² + 4x + 4.Advanced2 pts

True

False

18.The inequality x > 5 means x can equal exactly 5.Intermediate2 pts

True

False

19.x² − 4 factorises to (x−2)(x+2).Advanced2 pts

True

False

20.In algebra, 'simplify' and 'solve' mean exactly the same thing.Intermediate2 pts

True

False

21.A pie chart always adds up to 360 degrees in total.Basic2 pts

True

False

22.A larger slice of a pie chart always represents a larger percentage.Basic2 pts

True

False

23.Bar graphs and line graphs use the same type of axes.Intermediate2 pts

True

False

24.A line graph is the best choice for showing how temperature changes over a week.Basic2 pts

True

False

25.Percentages in a pie chart must always add up to 100%.Basic2 pts

True

False

Section C — Fill in the Blank

20 marks

10 questions · 2 marks each. Type the missing word or term.

26.Breaking an expression like x² + 5x + 6 into (x+2)(x+3) is called ______.Advanced2 pts

27.The opposite process of factorising is called ______.Intermediate2 pts

28.A mathematical sentence using <, >, ≤ or ≥ instead of an equals sign is called an ______.Intermediate2 pts

29.(x + 5)(x + 5) can be written more shortly as (x + 5)______.Advanced2 pts

30.x² − 16 factorises to (x − 4)(x + ______).Advanced2 pts

31.A chart made of a full circle divided into slices is called a ______ chart.Basic2 pts

32.The vertical axis of a graph is usually called the ______-axis.Basic2 pts

33.A graph that uses connected points to show change over time is called a ______ graph.Basic2 pts

34.If a pie chart slice is 50% of the total, it takes up ______ degrees.Intermediate2 pts

35.A graph with separate rectangular columns is called a ______ graph or chart.Basic2 pts

Section D — Column Matching

10 marks

Use the ▲ ▼ buttons to reorder Column B until each row lines up with the correct term in Column A. 2 marks per correct pair.

36–40.Match each term to its correct definition.Advanced10 pts

Column A

Factorise

Expand

Inequality

Pie chart

Line graph

Column B

Multiply out brackets in an expression

A statement comparing two expressions using <, >, ≤ or ≥

A graph showing change or trend over time using connected points

Write an expression as a product of brackets

A circular chart divided into slices showing parts of a whole

Section E — Short Answer

20 marks

5 questions · 4 marks each. Answer in one or two sentences.

41.Explain what it means to factorise an algebraic expression.Advanced4 pts

42.Explain the difference between an equation and an inequality.Advanced4 pts

43.Describe how to expand (x + 4)(x + 1).Advanced4 pts

44.Explain when you would choose to use a pie chart instead of a bar graph.Advanced4 pts

45.Describe how to work out how many degrees a slice of a pie chart should be if it represents 20% of the data.Advanced4 pts

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