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

Numbers, Shapes & Proofs

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Ten questions on the mathematics that turns up outside the classroom, each explained in plain language.

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Questions

~6m

Duration

Easy

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+100

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About this topic

This quiz sticks to the mathematics that stays useful after school: the value of pi, what makes a number prime, why the angles of a triangle behave predictably, and what the words mean when people use them loosely. It also touches the history, including where the numeral zero came from, which is a better story than most textbooks allow room for. The explanations avoid notation wherever possible and describe what each rule is actually saying. No mental arithmetic under time pressure.

Questions & answers

Numbers, Shapes & Proofs: all 10 questions and answers

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1What is the value of pi to two decimal places?
- A 3.14 Correct
- B 3.41
- C 3.16
- D 2.72
Answer: A. 3.14

Why: Pi is the ratio of a circle's circumference to its diameter, the same for every circle. It is irrational, so the decimals continue without repeating.
2The interior angles of any triangle add up to how many degrees?
- A 270
- B 360
- C 180 Correct
- D 90
Answer: C. 180

Why: This holds for every triangle drawn on a flat surface. On a curved surface, such as a sphere, the total exceeds 180.
3A number divisible only by 1 and itself is called what?
- A A square number
- B A rational number
- C A prime number Correct
- D An even number
Answer: C. A prime number

Why: Two is the smallest prime and the only even one. One is excluded by definition, which keeps other rules working cleanly.
4What is 7 squared?
- A 56
- B 14
- C 63
- D 49 Correct
Answer: D. 49

Why: Squaring means multiplying a number by itself, so 7 times 7 is 49. The name comes from the area of a square with sides of that length.
5The distance around the edge of a circle is called what?
- A The diameter
- B The radius
- C The circumference Correct
- D The perimeter
Answer: C. The circumference

Why: Circumference is the specific term for a circle's boundary length. Perimeter is the general word used for straight-sided shapes.
6Pythagoras' theorem applies to which kind of triangle?
- A Isosceles
- B Obtuse
- C Right-angled Correct
- D Equilateral
Answer: C. Right-angled

Why: It states that the square on the longest side equals the sum of the squares on the other two. It only holds when one angle is exactly 90 degrees.
7The numeral zero as a number in its own right was developed notably in which region?
- A India Correct
- B Ancient Greece
- C Scandinavia
- D Ancient Rome
Answer: A. India

Why: Indian mathematicians treated zero as a number with its own rules by around the seventh century. The concept reached Europe via Arabic scholarship centuries later.
8In binary, how many digits are available?
- A Sixteen
- B Ten
- C Eight
- D Two Correct
Answer: D. Two

Why: Binary uses only 0 and 1, which maps neatly onto a switch being off or on. That is why it underpins computing.
9Adding a set of values and dividing by how many there are gives you what?
- A The mean Correct
- B The median
- C The mode
- D The range
Answer: A. The mean

Why: The mean is the everyday average. The median is the middle value when sorted, and the mode is the most frequent one.
10A shape with four equal sides and four right angles is called what?
- A A rhombus
- B A parallelogram
- C A square Correct
- D A trapezium
Answer: C. A square

Why: A rhombus also has four equal sides but its angles need not be right angles. Every square therefore qualifies as a rhombus, though not the reverse.

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