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Math Olympiad
Miscellaneous
100
(1/2)*(2/3)*(3/5)

1/5

100
How many lines of symmetry does a pentagon have? Can you draw the pentagon?

5

100

Vedant can solve 10 math problems in 5 minutes. How long does it take him to solve 5 problems?

2.5 minutes

100

What number is 5 less than 2 more than 52?

49

100

Manvi has rowed her rowboat 100 m from where she started. Convert 100 m to cm.

10,000 cm

200

(1/2) + (1/3) - (1/5)

19/30

200
Define similar and congruent polygons

similar: same shape, different size

congruent: same shape, same size

200

Manvi uses two entire erasers for every 15 questions she answers. 10. If erasers come in packs of 12, at least how many packs does she
need for her 100-question test?

2

200

Vedant threw 9 coins into the air. If twice as many coins landed heads up as landed tails up, how many coins landed heads up?

6 coins landed heads up

200

Tanvi earns 2 dimes for every glass of lemonade she sells. If Tanvi earned $20, how many glasses of lemonade did she sell?

100

300

(3.5) / (1/2) * (1/3)

7/3 or 2 1/3

300

Give the definition of a rhombus (by sides, parallel sides, and angles)

4 sides, 2 sets of parallel sides, no right angles

300
Tanvi has a soccer game every day and scores two goals in every game. How many weeks will it take him to score 56 goals?

4

300

I counted 1800 sheep and cows. If I counted 5 sheets for every cow I counted, what is the difference between the number of sheep and cows that I counted?

1200

300

What is the product of 49 ones?

1 (1*1*1*1... 49 times)

400

1.5 + 1/4 - 1/3

17/12 or 1 5/12

400

Name the 6 type of triangles with their definitions

scalene - different sides, isosceles - 2 sides are the same, equilateral - all sides are the same, acute - all acute angles, obtuse - one obtuse angle, right - one right angle

400

The average of 3 numbers is a whole number. If one number is 2, and the other 2 numbers are equal, the other numbers could each be...

5

400

What is $2000 - 200 cents + $20 - 2 cents?

$2017.98

400

Give the elapsed time from 7:15 am to 3:32 pm

8 hour 17 min

500

3.2 - 4/5 + 1/2

29/10 or 2 9/10

500

At most, how many 1x3 rectangles that do not overlap can fit in a 5x7 rectangle?

11

500

Manvi can solve 6 puzzles in 4 minutes and Tanvi can solve 5 puzzles in 6 minutes. At these rates, by how many seconds can Manvi solve a puzzle faster than Tanvi?

32 seconds

500

How many pairs of unequal whole numbers greater than 40 and less than 60 sum to 100?

9

500

Akhil only has large and small boxes. Each large box has four small boxes in side. If Akhil has 20 boxes total, what is the lowest possible number of small boxes that Joey has?

16

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