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Math Quiz Questions

• Using the digits 1, 2 and 3 how many different 3-digit numbers can I write down? (I am not allowed to repeat a digit)
• The product of two integers is 48 and their difference is 13. What are the two numbers?
• I have a number of pencils. I f I put them into groups of six, there is 1 left over. If I put them into groups of eight, again there is 1 left over. What is the smallest number of pencils I could have?
• A man walked at 4 kilometre per hour for 2 hours and then ran at 16 kilometre per hour for 1 hour. What was his average speed?
• John and Peter left work travelling in opposite directions. After half an hour they were 65 km apart. John travelled at 50 kilometre per hour. What was Peter’s speed?
• Among the numbers from 1 to 100 how many times does the digit 3 appear?
• If the first day of December is a Sunday, what day of the week is the last day of December?
• Each example below is a familiar word in Mathematics, but the letters are all jumbled up. What is each word?
  a) TELLIMPU
  b) INDATIDO
  c) CRINTOAF
  d) REGOYTEM
  e) LINGREAT
  f) MEDALIC
  g) CRUSTBAT
  h) CLANGREET
• There are five people in a room. How many handshakes are there if each person shakes the hands of every other person?
• There is a certain substance that doubles its volume every minute. A small amount of it is put in a jar at 8 o’clock and the jar is just filled at 9 o’clock. What time was it half full?
• I have a collection of 5 cents, 10 cents and 20 cents coins. In how many different ways can I make up a total of 25 cents?
• Four straight lines are drawn on a piece of paper. What is the maximum possible number of intersections?
• If all the odd numbers from 1 to 19 are added together the answer is 1000. What is the sum of all the even numbers from 2 up to 20?
• Six girls stand at the corners of a regular hexagon drawn on the ground. The distance between one girl and the girl next to her is 1m. What is the distance between 2 girls standing directly opposite each other?
• Three differently coloured cubes are placed on top of each other to make a tower. How many different towers can be built?
• The population of a certain city is 250,000. About 30,000 people live in the outskirts of the city. Based on these figures, what percentage of the population lives in the outskirts of the city?
• How many grammes are there in 1.3 kg?
• What is the largest number that divides into both 45 and 60?
• What is the smallest number that can be divided by both 8 and 10?
• A meeting started at 1.45 am. It lasted three and a half hours. What time does it finish?
• A display started at 10.30 am and finished at 1.45 pm. How long did it last?
• If 3 people can wash a car in 20 minutes, how long will it take 4 people working at the same rate?
• The ages of three children are 8, 10 and 12 years. Their father gives them $15 to share in the proportion of their ages. How much does the youngest get?
• The average weight of 3 boys is 60kg and the average weight of 2 girls is 50 kg. What is the average weight of all the children?
• On a certain map, 1 cm represents 500 m. 7 cm is the distance between two points on the map. What is the actual distance in Km?
• John and Peter belong to the same golf club. John visits the club every 6 days and Peter goes every 8 days. If they met at the club today after how many days will they meet again?

Answer Key

• Six different numbers: 123 132 213 231 312 321
• 3 and 16
• 25
• 8 kilometre per hour
• 80 kilometre per hour
• 20
• Tuesday
• a) MULTIPLE
  b) ADDITION
  c) FRACTION
  d) GEOMETRY
  e) TRIANGLE
  f) DECIMAL
  g) SUBTRACT
  h) RECTANGLE
• 10 handshakes
• 8.59
• 4 ways
• 6 intersections
• 110
• 2m
• 6 towers
• 12%
• 1300g
• 15
• 40
• 2.15 pm
• Three and a quarter hours
• 15 minutes
• $4
• 56 kg
• 3.5 km
• 24 days