How is this quiz scored?

Every correct answer adds to your score, and there is no penalty for a wrong one. Your result is shown at the end with a full review of each question.

Do I need an account to play?

No. Every quiz is free and playable without signing in. An account is optional and only used to save your progress across devices.

Are explanations included?

Yes. Every question is followed by a short explanation of why the correct answer is right, so the quiz is useful whether you score well or not.

Mathematics Easy ⚡ 10 Questions ⏱️ ~6 Mins +100 XP

Shapes, Angles and Space

Q: Can I retake this quiz?

Yes. You can replay any quiz as many times as you like, and the questions and answer options are reshuffled each time.

The part of maths you can see. Ten questions on shapes and the space they take up.

Start Quiz

Questions

~6m

Duration

Easy

Difficulty

+100

Max XP

About this topic

Geometry is the oldest branch of mathematics still taught in more or less its original form, and the one that survives longest in everyday life. Anyone laying a floor, hanging a picture or working out whether a sofa will fit through a door is doing it, whether or not they would call it that. These questions cover the naming of shapes, the behaviour of angles, and the difference between measuring an edge, a surface and a volume — the distinction people most often get wrong when a job involves buying materials.

Questions & answers

Shapes, Angles and Space: all 10 questions and answers

Every question in this quiz is listed below with its correct answer and the reasoning behind it. Play first if you would rather not see the answers — or read through as a study sheet.

Play it instead

Show all answers and explanationsHide answers

1How many sides does a pentagon have?
- A Six
- B Seven
- C Four
- D Five Correct
Answer: D. Five

Why: From the Greek "pente". A hexagon has six and an octagon eight.
2The angles inside a quadrilateral add up to how many degrees?
- A 270
- B 540
- C 360 Correct
- D 180
Answer: C. 360

Why: Any four-sided shape totals 360, because it can be split into two triangles of 180 each.
3What is the area of a rectangle 6m long and 4m wide?
- A 48 square metres
- B 24 square metres Correct
- C 20 square metres
- D 10 square metres
Answer: B. 24 square metres

Why: Area multiplies the two dimensions. Its perimeter would be 20 metres, which is a different measurement entirely.
4A triangle with all three sides equal is called what?
- A Equilateral Correct
- B Isosceles
- C Scalene
- D Obtuse
Answer: A. Equilateral

Why: Its angles are all 60 degrees. Isosceles has two equal sides, scalene none.
5An angle greater than 90 but less than 180 degrees is called what?
- A Acute
- B Reflex
- C Right
- D Obtuse Correct
Answer: D. Obtuse

Why: Acute is under 90 and reflex is over 180.
6How many faces does a cube have?
- A Twelve
- B Four
- C Six Correct
- D Eight
Answer: C. Six

Why: It also has eight vertices and twelve edges. All six faces are identical squares.
7The volume of a box measuring 2m by 3m by 4m is what?
- A 48 cubic metres
- B 24 cubic metres Correct
- C 9 cubic metres
- D 12 cubic metres
Answer: B. 24 cubic metres

Why: Volume multiplies all three dimensions, which is why it is measured in cubic units.
8A line that touches a circle at exactly one point is called what?
- A A tangent Correct
- B A radius
- C A chord
- D A diameter
Answer: A. A tangent

Why: A chord crosses the circle at two points; the diameter is the longest chord.
9The diameter of a circle is what, compared with its radius?
- A Half as long
- B The same
- C Pi times as long
- D Twice as long Correct
Answer: D. Twice as long

Why: The circumference is pi times the diameter, which is where the constant enters.
10Two shapes that are the same shape but different sizes are described as what?
- A Parallel
- B Symmetrical
- C Similar Correct
- D Congruent
Answer: C. Similar

Why: Congruent means identical in both shape and size. Similar shapes share angles but not dimensions.

Read alongside this quiz

The mathematics you actually use

Most everyday numerical mistakes come from a handful of ideas nobody was taught properly. The useful core.

6 min read

Frequently Asked Questions

How is scoring calculated for this quiz?

Each correct answer awards 10 XP. There is zero point penalty for incorrect guesses, encouraging learning through exploration.

Can I retake this quiz?

Yes! You can retake any quiz as many times as you like, or use the Practice Mistakes mode at the end to review questions you missed.

Are explanations provided for every question?

Absolutely. As soon as you select an option, QuizKite displays a detailed explanation card explaining why the answer is correct.

QuizKite Quality Guarantee

Every quiz on QuizKite is researched, written and fact-checked by hand against reliable references, with an explanation for each answer. Read our full Editorial Policy to learn more about our content standards.

Keep going