Problem 6 · 2018 Math Kangaroo
Easy
Arithmetic & Operations
division
Bernd produces steps for a staircase which are 15 cm high and 15 cm deep (see diagram). The staircase should reach from the ground floor to the first floor, which is 3 m higher. How many steps does Bernd have to produce?
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Answer: D — 20
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Hint 1 of 2
Every step adds the same height. How much total height must the steps cover?
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Hint 2 of 2
Turn 3 m into centimetres, then see how many 15 cm steps fit.
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Approach: divide the total rise by the height of one step
- The staircase must rise 3 m = 300 cm.
- Each step is 15 cm high, so the number of steps is 300 : 15 = 20.
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