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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?
    f) MEDALIC
  • 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
    f) DECIMAL
  • 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

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