Olympiad Math — Sprint Style Questions

10 Jan

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  1. List the 17th multiple of 8.
  2. Find the first 2 common multiples of the 7 and 11.
  3. Find the HCF of 168 and 236.
  4. Find the least number which should be added to 2497 so that the sum is exactly divisible by 3, 4, 5 and 6.
  5. When freshly plucked from a tree, 80% of a pear consists of water. After being exposed to the sun for an hour, 25% of the water had evaporated. What percentage of the pear consists of water now?
  6. The tickets for a dinner show were sold at $150 each. When the ticket price was reduced, the number of customers tripled and the total earnings doubled. By how much was the ticket price reduced?
  7. In an amusement park, adults and children were charged $13 and $6.50 respectively for a ride. A total of $3022.50 was collected from fewer than 400 of them. What was the smallest possible number of adults who took the ride?
  8. The number sequence is as follows:

    18, 21, 16, 23, 14, 25……

    Find the next 4 number in the sequence.

  9. At the end of the Olympics, all 20 sportsmen each representing a different country, shook hands with each of the other 19 sportsmen. How many handshakes were there?
  10. If the difference between 100x + 10y + z and 10z + y is 10x + z, what digits do x, y and z stand for?

Rules:

1. Write your answers in the comments section (1 entry per student). Ensure your name and answers are clear.

2. Star tokens will be awarded to the first three current Math Arena students who got all 10 answers correct (answers will only be disclosed by then). Our teacher’s decision is final.

3. Calculator of any model is not allowed. Submit your working steps on a piece of paper to a teacher separately.

 

One Response to “Olympiad Math — Sprint Style Questions”

  1. matharena February 1, 2019 at 9:59 pm #

    Hi, my name is William (P6)
    1) 136
    2)77,154
    3)4
    4)23
    5)75%
    6)$50
    7)66
    8)12,27,10,29
    9)190
    10)x=1,y=0,z=9

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