MathsFreePrintable
Fractions and Probability Quest
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Fractions and Probability Quest
Work through each level. Write fractions in simplest form unless the question asks otherwise. Show working for questions that ask you to explain or calculate.
Level 1: Fraction and chance basics
Practise comparing and calculating simple fractions, then use equally likely outcomes to find probabilities.
1.Which fraction is greater: 3/5 or 1/2?
- 3/5
- 1/2
- They are equal
2.Complete the equivalent fraction: 3/4 = ___/20.
3.Calculate 2/7 + 3/7. Give your answer in simplest form.
4.Calculate 7/8 − 3/8. Simplify your answer.
5.Find 2/5 of 15.
6.Which fraction is equivalent to 6/10?
- 2/5
- 3/5
- 4/5
- 5/6
7.Add 3/10 and 4/10. Write the result as a fraction.
8.A fair coin has two equally likely outcomes. What is the probability of tails?
9.A fair coin is tossed once. List every possible result.
10.A standard six-sided die is rolled once. How many different results are possible?
11.What is the probability of rolling a 5 on a fair, standard six-sided die?
12.Choose the best description of rolling an 8 on a standard six-sided die.
- Impossible
- Unlikely but possible
- Even chance
- Certain
13.A pouch contains 4 orange counters and 6 purple counters. How many counters are in the pouch altogether?
14.Using the pouch of 4 orange and 6 purple counters, find the probability of selecting an orange counter at random. Simplify.
15.Using the same pouch of 4 orange and 6 purple counters, which colour is more likely to be selected?
Level 2: Simplify, compare and calculate
Use equivalent fractions and simplified probability fractions to solve these challenges.
16.Compare 5/12 and 3/7. Write <, > or = in the box.
17.Simplify 12/18 to its lowest terms.
18.Calculate 1/4 + 1/3. Give the answer in simplest form.
19.Calculate 7/10 − 1/5. Give the answer in simplest form.
20.Multiply 3/8 by 4. Simplify your answer.
21.Complete the equivalent fraction: 5/15 = ___/3.
22.Add 3/10 + 5/10 and simplify the result.
Red
Red
Red
Blue
Blue
Green
Green
Yellow
23.A spinner has eight equal sections: three red, two blue, two green and one yellow. List the colours that could be landed on.
24.A spinner has eight equal sections: three red, two blue, two green and one yellow. Find the probability of landing on red. Simplify.
25.A spinner has eight equal sections: three red, two blue, two green and one yellow. What is the probability of landing on blue?
26.Which colour or colours are most likely on the spinner with three red, two blue, two green and one yellow section?
27.A box contains 18 tiles: 6 white, 7 black and 5 grey. Find P(white).
28.A box contains 18 tiles: 6 white, 7 black and 5 grey. What is the probability of choosing a tile that is not grey?
29.In the box with 18 tiles (6 white, 7 black and 5 grey), is the probability of choosing black greater than 1/3? Show a fraction comparison.
Level 3: Mixed numbers and probability reasoning
Take on multi-step fraction calculations and probability problems. Reduce each probability to simplest form where possible.
30.Write 3 2/7 as an improper fraction.
31.Compare 9/5 and 1 3/4. Which is greater?
32.Calculate 1 2/3 + 3/4. Give your answer as a mixed number in simplest form.
33.Calculate 3 1/4 − 5/6. Give your answer as a mixed number in simplest form.
34.Calculate 5/12 × 6. Write your answer as a mixed number.
35.Simplify 21/28 to its lowest terms.
36.Which is larger: 13/8 or 1 3/5? Include a calculation to support your answer.
37.Two fair six-sided dice are rolled. How many ordered outcomes are possible?
38.Two fair six-sided dice are rolled. What is the probability that their total is 8?
39.Two fair six-sided dice are rolled. What is the probability that their total is greater than 9?
40.A jar holds 24 beads: 10 red, 8 blue and 6 green. Find the probability of selecting a red bead. Simplify.
41.A jar holds 24 beads: 10 red, 8 blue and 6 green. One red bead is taken out and not replaced. What is the probability that the next bead is blue?
42.In a jar with 10 red, 8 blue and 6 green beads, compare the probabilities of selecting red and selecting blue. Which probability is greater?
43.A spinner has 20 equal sections, and the probability of landing on purple is 3/10. How many sections are purple?
44.Explain why an event that cannot occur has probability 0, using the fraction favourable outcomes/total outcomes.
Use the matching pairs to connect each fraction with its simplest equivalent form.
7 printable pages
Page 1
Page 2
Page 3
Page 4
Page 5
Page 6
Page 7
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
