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Quizzes > Mathematics

Math Test Practice: 20-Question Achievement Quiz

Quick, free math achievement test with instant results and study tips.

Editorial: Review CompletedCreated By: Antonis PitsillidesUpdated Aug 27, 2025
Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Paper art promoting Kumon Math Challenge practice quiz for elementary and middle school students.

This 20-question math achievement quiz helps you focus your math test practice, check strengths, and spot gaps before a placement or school exam. You will get instant results and pointers on what to review next. If you want more drills, try high school math practice, build speed with a short math quiz, or warm up with basic math practice.

What is 47 + 28?
65
74
75
76
Adding 47 and 28 gives 75 by combining tens and units appropriately. This basic addition reinforces foundational arithmetic skills.
What is 93 - 47?
46
48
56
44
Subtracting 47 from 93 yields 46. This problem tests basic subtraction, including regrouping where necessary.
What is 8 x 7?
54
64
56
49
Multiplying 8 by 7 gives 56, a fact that is essential in mastering multiplication tables. Clear recall of multiplication facts is beneficial for building further mathematical skills.
What is 81 ÷ 9?
8
10
9
7
Dividing 81 by 9 results in 9 because 9 times 9 equals 81. This reinforces understanding of basic division facts.
Which fraction is equivalent to 2/4 in simplest form?
1/2
3/4
2/3
2/5
When simplified, 2/4 reduces to 1/2 by dividing both the numerator and denominator by 2. This question checks the ability to simplify fractions.
What is the result of 125 + 375?
495
510
500
480
Adding 125 and 375 results in 500. This problem helps strengthen multi-digit addition skills.
If you subtract 156 from 407, what is the result?
241
261
257
251
Subtracting 156 from 407 gives 251. This exercise focuses on subtraction with borrowing across digits.
What is 15 x 12?
190
175
200
180
Multiplying 15 by 12 results in 180 by breaking it into 15 x 10 and 15 x 2. This problem reinforces multiplication skills and mental computation.
Solve: 144 ÷ 12
12
14
11
10
Dividing 144 by 12 gives 12, as 12 multiplied by 12 equals 144. This reinforces division skills and number relationships.
Simplify the fraction 8/12.
2/3
4/6
3/4
8/12
Simplifying 8/12 by dividing the numerator and denominator by 4 gives 2/3. This tests the student's understanding of reducing fractions to simplest form.
If a rectangle has a length of 8 cm and width of 3 cm, what is its perimeter?
24
26
18
22
The perimeter is calculated as 2 multiplied by the sum of the length and width: 2*(8+3) = 22. This problem applies the rectangle perimeter formula.
What is the value of 3/5 + 1/5?
1
3/5
2/5
4/5
Adding fractions with the same denominator involves summing the numerators: 3+1, which equals 4, so the answer is 4/5. This reinforces the concept of combining like fractions.
A cake is divided into 8 equal slices. If you eat 3 slices, what fraction of the cake remains?
3/8
1/2
4/8
5/8
If 3 slices are eaten from 8, then 5 slices remain. The fraction of the cake left is 5/8. This problem helps visualize part-to-whole relationships.
What is the decimal equivalent of 3/4?
1.0
0.25
0.5
0.75
Dividing 3 by 4 converts the fraction to its decimal form, 0.75. This exercise promotes a better understanding of fraction-to-decimal conversions.
Which number is a prime number among the following?
17
15
21
27
Among the options, 17 is the only prime number because it is divisible only by 1 and itself. This question encourages recognition of prime numbers.
Solve: 7 x (4 + 6) - 5
70
65
75
60
First, add the numbers inside the parentheses: 4 + 6 = 10. Then multiply by 7 to get 70, and finally subtract 5 to arrive at 65.
What is the area of a triangle with base 10 cm and height 6 cm?
30 cm²
25 cm²
60 cm²
16 cm²
The area of a triangle is calculated using the formula 1/2 * base * height. Here, 1/2 * 10 * 6 equals 30 cm².
A number is doubled and then increased by 8 to give 24. What is the original number?
12
10
16
8
Setting up the equation 2x + 8 = 24 and solving for x gives x = 8. This question integrates basic algebra into arithmetic operations.
If one third of a number is 5, what is the number?
20
18
10
15
The equation (1/3)x = 5 can be solved by multiplying both sides by 3, giving x = 15. This reinforces proportional reasoning.
The sum of two consecutive even numbers is 46. What are they?
23 and 25
22 and 24
20 and 22
21 and 23
Let the first even number be x; the next is x + 2. Setting up the equation x + (x + 2) = 46 gives x = 22, making the numbers 22 and 24. This question assesses problem-solving through simple algebra.
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Study Outcomes

  1. Assess proficiency in solving arithmetic problems under exam conditions.
  2. Identify key mathematical concepts essential for competitive challenges.
  3. Apply targeted problem-solving strategies to practice quiz exercises.
  4. Analyze errors to enhance calculation accuracy and reasoning skills.
  5. Evaluate performance to build readiness for standardized math tests.

Kumon Math Achievement Test Review Cheat Sheet

  1. Master the order of operations (PEMDAS) - Think of PEMDAS as your secret math code: Parentheses first, then Exponents, Multiplication and Division (left to right), and finally Addition and Subtraction (left to right). Following this order makes even the toughest expressions feel like a breeze.
  2. Understand place value with decimals - Get comfy reading, writing, and comparing decimals all the way to the thousandths place. Learn how to round decimals so your answers fit neatly into real‑world scenarios, from money to measurements.
  3. Practice adding and subtracting fractions - Become a fraction ninja by finding common denominators and then adding or subtracting like a pro. With practice, you'll breeze through mixed numbers and impress everyone with your fraction fluency.
  4. Learn to multiply and divide fractions - Multiply fractions by multiplying numerators and denominators, and divide by flipping the second fraction (reciprocal magic!). Soon you'll be tackling recipes and ratio problems without breaking a sweat.
  5. Divide multi-digit numbers smoothly - Practice dividing by two‑digit divisors and learn how to interpret remainders as decimals, fractions, or whole numbers. This skill is a game‑changer for tackling word problems and real‑life calculations.
  6. Convert units of measurement - Switch between inches and feet, meters and kilometers, or ounces and pounds like a measurement magician. These conversions are key for science experiments, cooking, and building awesome DIY projects.
  7. Interpret data from graphs and plots - Read bar graphs, line plots, and tables to uncover patterns and relationships, like how distance and speed connect. Then create your own charts to visualize trends in everything from sports stats to weather records.
  8. Calculate volume of 3D shapes - Find the volume of rectangular prisms using Volume = length × width × height. Understanding this formula helps you figure out how much water fits in a tank or how much soil you need for a planter box.
  9. Graph points on the coordinate plane - Plotting (x, y) is like a treasure map: X-axis is east‑west, Y-axis is north‑south. Master this skill to solve geometry puzzles and map out fun real‑world scenarios.
  10. Classify 2D figures by properties - Sort shapes into families by their sides, angles, and symmetry - discover how all squares are rectangles, but not all rectangles are squares. This detective work solidifies your geometry foundation.
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