Ratio & Probability Problems 2 - Practice Questions

Oct 22, 2026

Worksheet focused on ratio and probability using a managed-forest scenario with beech, holly, and maple trees. Students convert part-to-part relationships into a three-part ratio, scale populations from given beech or maple totals, and compute missing counts when the ratio changes to 3:2:5. It also requires expressing probabilities as fractions by finding likelihoods for selecting a beech, maple, holly, complements (not beech/not holly), and combined events.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Ratio tasks

Tree ratios and scaling counts

Probability tasks

Single and combined event probabilities

RATIO & PROBABILITY PROBLEMS 2 Write your ratio answers in the form : Write your probability answers as a fraction. In a managed forest, three different trees are planted. The trees are beech, holly and maple. For every beech tree planted, there are 2 holly trees planted and 5 maple trees planted. 1) Write down the ratio of trees beech : holly : maple trees 2) If 6 beech trees were planted, how many holly trees would be planted? 3) If 40 maple trees were planted, how many beech trees would be planted? 4) What is the probability that a tree chosen at random: a) would be a beech? b) would be a maple? c) would be a holly? d) would not be a beech? Due to a rise in the demand for beech, the ratios of trees planted change to 3 beech : 2 holly : 5 maple. 5) If 36 beech trees were planted, how many maple trees would be planted? 6) If 80 trees were planted altogether, how many trees would be: a) beech = trees b) holly = trees c) maple = trees 7) What is the probability that a tree chosen at random: a) would be maple? b) would not be holly? c) would not be beech or maple? d) would be a holly or beech? RATIO & PROBABILITY PROBLEMS 2 ANSWERS In a managed forest, three different trees are planted. The trees are beech, holly and maple. For every beech tree planted, there are 2 holly trees planted and 5 maple trees planted. 1) Write down the ratio of trees. 1 beech : 2 holly : 5 maple trees 2) If 6 beech trees were planted, how many holly trees would be planted? 12 3) If 40 maple trees were planted, how many beech trees would be planted? 8 4) What is the probability that a tree chosen at random: a) would be a beech? 1/8 b) would be a maple? 5/8 c) would be a holly? 2/8 or 1/4 d) would not be a beech? 7/8 Due to a rise in the demand for beech, the ratios of trees planted changes to 3 beech : 2 holly : 5 maple. 5) If 36 beech trees were planted, how many maple trees would be planted? 60 6) If 80 trees were planted altogether, how many trees would be: a) beech = 24 trees b) holly = 16 trees c) maple = 40 trees 7) What is the probability that a tree chosen at random: a) would be maple? 5/ 10 or 1/2 b) would not be holly? 8/ 10 or 4/5 c) would not be beech? 7/ 10 d) would be a holly or beech? 5/ 10 or 1/2

FAQs

How do you find the three-way ratio of beech to holly to maple?

Identify the given relationship for every beech tree, then express the counts as a ratio of beech : holly : maple (e.g., 1 : 2 : 5 for the original setup).

If 36 beech trees are planted after the ratio changes to 3:2:5, how many maple trees are planted?

The scale factor is 12 relative to 3 beech, so maple is 5 × 12 = 60.

What is the probability that a randomly chosen tree would not be holly after the ratio changes?

Not holly means holly complement. From the 3:2:5 totals, the answer is 8/10 or 4/5.

Oct 22, 2026

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