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# Maths Quiz

### Maths Questions I

1. Can you solve the following... 6 - 1 x 0 + 3 ÷ 3 =
2. What gives a fuller tighter fit: a square peg in a round hole or a round peg in a square hole?
3. What is the total of the internal angles of an hexagon?
4. Which number has been described by the Massachusetts Institute of Technology as ‘the least random number’ because it is the most common choice when humans are asked to select a number between 1 and 20?
5. On an Ordnance Survey Map with a scale of 1:20,000, how many inches represent one mile?
6. What is the radius of a sphere whose volume-to-surface area ratio is one unit?

7. Calculate: 8 ÷ 2 ( 2 + 2 ) =
8. In an isosceles triangle, how many sides have an equal length?
9. The Lucasian Chair of Mathematics is a mathematics professorship at which university?
10. What name is given to the middle value when a list of numbers are put in order from smallest to largest?
11. If a brick weighs 1kg and half a brick; how heavy is the brick?
12. In geometry, what name is given to a point where two or more curves, lines, or edges meet?
13. 'For every action there is an equal and opposite reaction' is one of Newton's Laws of motion, which number law?
14. What force in Newtons is needed for a mass of 10 kilograms to accelerate at a velocity of 5 metres per second squared?
15. In a business meeting of 6 people, how many handshakes would there be if everyone shook hands?
16. A bottle of wine costs £10. If the wine costs £9 more than the bottle, how much does the bottle cost?
17. What is the first name of French mathematician Pascal, of Pascal's triangle fame? And what about the last name of German mathematician 'Carl Friedrich....'?
18. What name is given to a straight line drawn from one point on the edge of a circle to another?
19. What is the value of each interior angle of a pentagon?
20. True or false? 230 - 220 x 0.5 = 5!
21. If a laptop costs £800 'before' VAT, and VAT is 20%, what is the total price of the laptop?

1. 7 (look up BODMAS if you don't know why)
2. A round peg in square hole is tighter (for ease, assume radius of circle is 1, then work our areas of square and circle)
3. 720 degrees
4. 17
5. 3 inches represents 1 mile
6. 3
7. 16 (trust us, it's not 1! - again, using BODMAS)
8. 2 sides are equal
9. University of Cambridge
10. Median
11. 2kg
12. Vertex
13. Third law
14. 50 Newtons
15. 15 handshakes
16. 50p
17. Blaise. And (Carl Friedrich) Gauss.
18. A chord (a diameter is a chord that cuts through the circle's centre)
19. 108 degrees
20. True (In maths 5! means five factorial, which is 5 x 4 x 3 x 2 x 1, which equals 120)
21. £960

### Maths Questions II

1. What is defined as 'the study of mathematical models of conflict and cooperation between intelligent rational decision-makers'?
2. What name is given to the longest side of a right angled triangle?
3. In mathematics, what is the inverse operation to exponentiation?
4. The value of what is 9 point 8 metres per second squared?
5. The volume of water flowing into a bath doubles every minute. If the bath is full in 5 minutes, after how many minute was it half full?
6. What name is given to a sequence where each following number is the sum of the previous two?
7. The volume of which solid object is given by the formula four thirds times pi times the radius cubed?
8. What name is given to the value that occurs most often in a list of numbers?
9. Which mathematical symbol was invented in 1557 by Robert Recorde?
10. Give the value of the tenth prime number?
11. In mathematics, what name is given to a rectangular array of numbers arranged in rows and columns?
12. What name is commonly given to a triangle with no sides of equal length and no equal angles?

1. Game Theory
2. Hypotenuse
3. Logarithm
4. Acceleration of gravity on the surface of the earth
5. 4 minutes
6. Fibonacci (or Lucas sequence)
7. Sphere
8. Mode
9. The equals sign
10. 29 (2, 3, 5, 7, 11, 13, 17, 19, 23, 29)
11. Matrix
12. Scalene

### Mathematics Questions III

1. What is 15 per cent of 360?
2. 6, 28, 496, and 8128 are examples of what?
3. What is the value of 4 to the power of 0?
4. Starting with the letter 'c' if you can place a shape exactly on top of another what are they said to be?
5. How many sides does a nonagon have?
6. Who developed calculus independently of Sir Isaac Newton?
7. What is the square root of 729?
8. What standard unit of angular measure is just over 57 degrees?
9. A quotient is the result of which arithmetical operation?
10. Which Greek mathematician is often referred to as the 'father of geometry'?
11. Which English mathematician, often regarded as the first computer programmer, was the only legitimate child of the poet Lord Byron?
12. Which German mathematician is best known for his laws of planetary motion?

1. 54
2. Perfect Numbers (A perfect number is a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of its divisors 1, 2, and 3.)
3. 1
4. Congruent
5. Nine

6. Gottfried Leibniz
7. 27