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Quizzes > High School Quizzes > Mathematics

Primary 5 Practice Quiz: Average Questions

Boost exam success with engaging practice challenges

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting a Primary 5 Averages math trivia quiz for students.

What is the average of 4, 6, and 8?
8
4
6
7
The sum of 4, 6, and 8 is 18. Dividing 18 by 3 gives 6, which is the correct average.
Find the average of 10, 20, and 30.
30
25
20
15
Adding 10, 20, and 30 gives 60, and dividing by 3 results in an average of 20. This is the standard method to compute an average.
Which of these best describes the term 'average'?
A randomly chosen value from the dataset
The difference between the highest and lowest values
The highest value in a dataset
The sum of values divided by the number of values
The average is calculated by summing the values and then dividing by the number of values. This definition is the most common way to determine a central value.
What is the average of a set that contains only the number 15?
30
0
15
1
When a set contains a single number, the average is the number itself. This is because the sum and the count are both equal to that number.
Calculate the average of 5 and 15.
20
15
5
10
The sum of 5 and 15 is 20. Dividing 20 by 2 gives an average of 10.
Find the missing number x if the average of 10, x, and 20 is 15.
10
5
20
15
Setting up the equation (10 + x + 20)/3 = 15 leads to finding x = 15. This shows the direct relationship between the sum and the average.
Calculate the average of 7, 9, 11, and 13.
11
12
9
10
The sum of the numbers is 40 and there are 4 numbers; dividing 40 by 4 gives an average of 10. This reinforces how to compute averages with multiple numbers.
If the average of 3 numbers is 12, what is their total sum?
12
36
30
24
Multiplying the average (12) by the number of values (3) gives a total sum of 36. This step is essential when working backwards from an average to find the total sum.
What is the average of 8, 12, and 16?
16
10
14
12
The sum of 8, 12, and 16 is 36, and dividing by 3 results in an average of 12. This procedure is a direct application of the average formula.
Which of the following is a disadvantage of using the average in a dataset with outliers?
It only works for even numbers
It is not affected by any changes in the dataset
It can be heavily influenced by extremely high or low values
It always gives the most frequent value
Averages can be skewed by outliers, which means that extremely high or low values can distort the overall result. This disadvantage is important to consider when interpreting data variability.
Calculate the new average if an extra number 10 is added to the set 2, 4, 6.
4
5.5
7
6
The original sum of the numbers (2, 4, 6) is 12 and adding 10 gives 22. Dividing 22 by 4 results in an average of 5.5, illustrating how a new value changes the average.
If the average of 5 numbers is 20, what is the new average after adding an extra number 20?
18
20
22
25
The extra number is equal to the current average, so the overall average remains unchanged at 20. This demonstrates a key property of averages when the new value matches the existing average.
Find the average of 2, 3, 5, 7, and 11.
5
7
6
5.6
The sum of the numbers is 28 and dividing by 5 yields an average of 5.6. This shows the calculation process for a set of diverse numbers.
The mean of these five numbers is 14: 10, 12, 16, 18, and x. Find x.
14
10
16
12
Multiplying the mean (14) by 5 gives the total sum. Solving for x from the equation (10 + 12 + 16 + 18 + x = 70) yields x = 14, demonstrating how to find an unknown in a dataset.
Given two groups with averages of 10 and 20 respectively, each containing 4 numbers, what is the overall average?
15
20
16
14
The first group has a total sum of 40 and the second group 80. Combining these (40 + 80) and dividing by the total count (8) gives an overall average of 15.
In a dataset of 7 numbers with an average of 8, if two numbers are removed and the new average becomes 7, what is the sum of the removed numbers?
7
21
28
14
The original total is 7 Ă - 8 = 56 and the new total after removing two numbers is 5 Ă - 7 = 35. The difference between these totals, 56 - 35, is 21, showing how removal affects the overall sum and average.
If the average of five consecutive integers is 13, what is the largest integer in the set?
14
15
16
13
In a set of five consecutive integers, the middle number is the average. This means the numbers are 11, 12, 13, 14, and 15, making 15 the largest integer.
The average of a set of numbers is 17. When a new number 25 is added, the overall average rises to 18. How many numbers were in the original set?
7
8
5
6
Let n be the original number of elements. Setting up the equation (17n + 25)/(n + 1) = 18 and solving it yields n = 7. This problem uses a linear equation based on the average formula.
A student accidentally double-counted one test score of 87 when calculating the average of 6 test scores, resulting in an average of 82. What is the correct average of the 5 test scores?
83
81
82
80
The mistaken total from six scores is 82 Ă - 6 = 492. After removing the extra 87, the correct total is 405, and dividing 405 by 5 gives the correct average of 81. This highlights the importance of accurate data entry when calculating averages.
Determine the overall average of the two sets: {12, 16, 20} and {18, 22}.
18
17
16
17.6
The sum of the first set is 48 and the second set is 40, giving a combined total of 88. Dividing 88 by the total number of 5 elements results in an overall average of 17.6, demonstrating how to combine groups for an average.
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Study Outcomes

  1. Understand the concept of averages and their real-life applications.
  2. Calculate the arithmetic mean of numerical data sets.
  3. Interpret and analyze average values in various problem contexts.
  4. Apply problem-solving skills to determine averages in exam-like scenarios.

Primary 5 Average Questions Exam Review Cheat Sheet

  1. Master the Average Formula - The average (or mean) is simply the sum of all your values divided by the count of values. Think of it as sharing equally - like splitting candy among friends so everyone gets the same amount! Explore the Average Formula
  2. Tackle Real‑World Word Problems - Practice makes perfect: work through scenarios like test scores or shopping bills to see averages in action. These exercises help you translate math into everyday decisions and boost your problem‑solving confidence. Solve Word Problems
  3. Reverse‑Engineer the Total Sum - If you know the average and how many items there are, you can find the total by multiplying them together. It's like back‑tracking a recipe: given portions per person and guest count, you can calculate how much you need! Find the Total Sum
  4. Determine the Number of Items - When you know the total sum and the average, divide to figure out how many numbers were involved. Imagine slicing a cake into equal pieces - by knowing slice size and total cake, you'll know the count of slices! Calculate Item Count
  5. Explore Weighted Averages - Not all numbers carry the same weight: learn how to give some values more influence over the final average. This skill is vital for real‑life scenarios like grading systems or mixing ingredients in different proportions. Dive into Weighted Averages
  6. Work with Decimals and Fractions - Extend your average‑finding skills to decimals and fractions for sharper, more versatile calculations. Whether it's money, measurements, or statistics, handling non‑whole numbers makes you a true math wizard! Practice with Decimals & Fractions
  7. Visualize with Bar Models - Use bar models and diagrams to break down average problems step by step. Visual aids turn abstract numbers into clear pictures - perfect for learners who love to see the "story" behind the math. See Bar Model Examples
  8. Conquer Multi‑Step Challenges - Build your critical thinking by tackling puzzles that blend averages with other operations. Layered problems teach you to plan, execute, and check your work - great skills for exams and real life alike! Try Multi‑Step Worksheets
  9. Connect Averages with Ratios and Proportions - Discover how averages link to ratios, proportions, and percentages. Seeing these relationships unlocks deeper understanding and helps you tackle a wider range of math topics. Explore Ratios & Proportions
  10. Boost Learning with Interactive Games - Engage in fun quizzes, interactive exercises, and math games to reinforce your average‑finding skills. Gamified practice keeps things exciting and cements concepts through play. Play Interactive Math Games
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