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FMO 2021 - Grade 5 - International - Paper 08

Question 1

Jake watches a flock of healthy sheep. The number of noses is 120 fewer than the number of legs. How many sheep are there?
  1. 17
  2. 21
  3. 40
  4. 12
  5. 14

Question 2

Kellie and Liam cycle around a 300 m track. Kellie takes 100 seconds for 3 laps; Liam takes 200 seconds for 5 laps. Who is slower, and what is that cyclist’s speed?
  1. Kellie, 9 m/s
  2. Kellie, 7.5 m/s
  3. Liam, 3.3 m/s
  4. Liam, 7.5 m/s
  5. Liam, 9 m/s

Question 3

The first group contains 1 square, the second 5 squares, and the third 14 squares. Following the pattern, how many squares are in the fourth group? Count squares of every size.

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  1. 16
  2. 20
  3. 25
  4. 28
  5. 30

Question 4

Each letter represents a different digit in the addition shown: AA + BB = CBC. Find A + B + C.

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  1. 9
  2. 10
  3. 11
  4. 12
  5. 13

Question 5

Jane makes the clockwise quarter-turn shown from Figure 1 to Figure 2. She then rotates Figure 2 another 2022 times in the same way. Which option results? R, G, B and Y indicate red, green, blue and yellow.

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Question 6

Leo folds a square sheet in half twice and cuts out the tilted rectangle shown. How many pieces of paper are obtained, including the cut-out pieces?

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  1. 13
  2. 16
  3. 12
  4. 15
  5. 20

Question 7

Greg has 100 identical 4 cm by 2 cm rectangles. He arranges them as shown, with the top-left vertex of each new rectangle at the midpoint of the bottom edge of the preceding rectangle. Find the perimeter of the final figure.

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  1. 800 cm
  2. 404 cm
  3. 804 cm
  4. 402 cm
  5. 808 cm

Question 8

Uncle John has three nieces: Abby, Bella and Cindy. Abby is two years older than Bella and two years younger than Cindy. John’s age is the sum of their ages. Which of these could be his age?

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  1. 35
  2. 36
  3. 37
  4. 38
  5. 40

Question 9

Three rice sacks are weighed in pairs in every possible way. The pair weights are 127 kg, 128 kg and 131 kg. How much does the lightest sack weigh?
  1. 63 kg
  2. 62 kg
  3. 64 kg
  4. 65 kg
  5. 66 kg

Question 10

The pie chart shows a restaurant’s sales of four dishes. Cookie sales are \$270 greater than sandwich sales. Find the sales of fries.

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  1. \$630
  2. \$595
  3. \$665
  4. \$700
  5. \$735

Question 11

The five locks have the letter passwords shown; each letter consistently represents the same digit. The keys fell down, and one key lost its label. Find the missing three-digit label.

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  1. 312
  2. 134
  3. 314
  4. 132
  5. 413

Question 12

Thirteen identical cubes form the solid shown. Its total surface area is 1656 cm². Find the solid’s total volume.

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  1. 351 cm³
  2. 832 cm³
  3. 1625 cm³
  4. 2808 cm³
  5. None of the above

Question 13

Harry and Ron each join six identical rectangles into the two figures shown. Harry’s perimeter is 32 cm less than Ron’s. Find the perimeter of one small rectangle.

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  1. 24 cm
  2. 48 cm
  3. 54 cm
  4. 30 cm
  5. 42 cm

Question 14

A box contains 100 balls numbered 1 through 100. What is the least number of balls to draw to guarantee two distinct balls whose numbers add to 100?

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  1. 49
  2. 50
  3. 51
  4. 52
  5. 53

Question 15

A car leaves a gas station for an airport at a constant 60 km/h. A truck leaves the same station 10 minutes later, in the same direction. The truck takes 1 hour 40 minutes after its own departure to catch the car. Find the truck’s speed.
  1. 62 km/h
  2. 64 km/h
  3. 66 km/h
  4. 68 km/h
  5. None of the above

Question 16

Farmer Ben has seven fruit trees with initial fruit counts 25, 39, 52, 36, 13, 28 and 21. Each day he visits only one tree and collects at most 10 fruits. He may revisit trees. After three weeks, what is the smallest possible total number of fruits left?

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