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Quizzes > High School Quizzes > Mathematics

Arithmetic and Reasoning Practice Quiz

Sharpen your reasoning and arithmetic skills today

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art promoting Arithmetic Logic Challenge for high school students

What is 7 + 5?
10
12
14
13
Adding 7 and 5 gives 12. This basic addition problem reinforces fundamental arithmetic skills.
What is 15 - 7?
6
7
9
8
Subtracting 7 from 15 results in 8. This question tests your basic subtraction skills.
What is the product of 3 and 4?
14
12
10
7
Multiplying 3 by 4 gives 12. Understanding multiplication is a key arithmetic skill.
Which of the following numbers is even?
7
8
11
9
An even number is divisible by 2 without any remainder. Among the options, 8 is the only even number.
What is the value of 20 ÷ 5?
5
4
2
3
Dividing 20 by 5 results in 4. This question reinforces basic division skills which are essential in arithmetic.
Solve: 12 × 3 - 10
24
26
22
28
First, multiply 12 by 3 to get 36, then subtract 10 to arrive at 26. This problem tests both multiplication and subtraction skills.
If a number divided by 2 plus 4 equals 10, what is the original number?
14
8
10
12
Let the unknown number be x. The equation is (x/2) + 4 = 10, solving which gives x = 12. This question utilizes basic algebraic manipulation.
Which fraction is equivalent to 2/4?
1/3
3/4
1/2
2/3
2/4 can be simplified by dividing both the numerator and the denominator by 2, resulting in 1/2. This simplification is a basic skill in working with fractions.
What is the least common multiple (LCM) of 3 and 4?
8
12
6
10
The multiples of 3 are 3, 6, 9, 12, ... and those of 4 are 4, 8, 12, ...; 12 is the smallest common multiple. This problem reinforces the concept of finding LCM.
What is 25% of 80?
20
25
30
15
25% means one-quarter, so 25% of 80 is calculated by dividing 80 by 4, which equals 20. This question applies basic percentage concepts.
Solve for x in the equation: 5x = 35
7
6
5
8
Dividing both sides of the equation 5x = 35 by 5 gives x = 7. This problem tests simple algebraic division.
Place the following numbers in ascending order: 5, 2, 8, 4.
5, 2, 4, 8
2, 5, 4, 8
2, 4, 5, 8
4, 2, 5, 8
Ascending order requires arranging numbers from the smallest to the largest. The correct order for 5, 2, 8, and 4 is 2, 4, 5, 8.
A store sells pencils in packs of 3 and erasers in packs of 4. What is the smallest number of items that could form a complete set of both pencils and erasers if one needs an equal number of each?
16
8
6
12
To have an equal number of pencils and erasers, the total must be a common multiple of both 3 and 4. The least common multiple of 3 and 4 is 12, making it the smallest complete set.
What is the result when you subtract the product of 2 and 3 from the sum of 10 and 5?
9
7
10
8
First, calculate the sum: 10 + 5 = 15, and then the product: 2 × 3 = 6. Subtracting the product from the sum gives 15 - 6 = 9.
How many degrees are in the interior angles of a triangle?
90
180
360
270
A fundamental property of triangles is that the sum of their interior angles is 180 degrees. This is a basic concept in geometry.
A number is increased by 20% to become 60. What was the original number?
52
48
55
50
If a number is increased by 20%, it is multiplied by 1.2. Dividing 60 by 1.2 yields 50, which is the original number before the increase.
If the ratio of apples to oranges is 3:2 and there are 30 fruits in total, how many apples are there?
20
12
15
18
The total ratio parts add up to 3 + 2 = 5 parts. Multiplying each part by 6 (since 30 ÷ 5 = 6) gives 18 apples. This question uses ratio and proportion reasoning.
What is the value of the expression 2 + 3 × (4²)?
42
54
50
32
First compute the exponent: 4² equals 16. Then multiply by 3 to get 48 and finally add 2 to achieve 50. This problem tests your knowledge of the order of operations.
If it rains, then the ground is wet. The ground is wet. Which conclusion is logically valid?
It may or may not have rained.
It must have rained.
It did not rain.
It definitely did not rain.
The statement 'If it rains, then the ground is wet' does not imply that the reverse is always true. Just because the ground is wet does not guarantee it rained, as there could be other reasons why the ground is wet.
A sequence of numbers starts with 3, and each subsequent number is obtained by adding 4. What is the 7th number in the sequence?
29
31
27
25
This is an arithmetic sequence where each term increases by 4. Starting from 3, the 7th term is calculated as 3 + (6 × 4) = 27.
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Study Outcomes

  1. Understand key arithmetic operations and logical reasoning concepts.
  2. Analyze problem statements to identify essential details for solution.
  3. Solve arithmetic puzzles using systematic approaches.
  4. Apply logical reasoning skills to deduce correct answers from given data.
  5. Evaluate different strategies to optimize problem-solving performance.

Arithmetic & Reasoning Practice Cheat Sheet

  1. Master the Four Fundamental Operations - Addition, subtraction, multiplication, and division are the building blocks of every arithmetic challenge. Mastering these operations lets you breeze through complex calculations with confidence. Once you know that 8 × 7 = 56, you'll spot larger patterns in no time. Testbook: Arithmetic Reasoning
  2. Conquer the Order of Operations (PEMDAS) - PEMDAS ensures you never mix up steps in multi‑part problems. Always tackle Parentheses first, then Exponents, follow with Multiplication and Division (left to right), and finish with Addition and Subtraction (left to right). This rule turns confusion into clarity on tests and in real‑life scenarios. ASVAB Bootcamp Cheat Sheet
  3. Convert Between Fractions, Decimals & Percentages - Switching between these formats is like translating between number languages. Knowing that 1/2 = 0.5 = 50% helps you compare values quickly and accurately. This skill is a lifesaver on exams and in everyday budgeting. Fraction‑Decimal‑Percentage Guide
  4. Memorize Key Geometry Formulas - Area and perimeter formulas are the secret codes for solving shape puzzles. Whether it's a rectangle (length × width) or a circle (πr²), these equations unlock geometric mysteries. A solid formula list saves precious time on timed tests and hands‑on projects. GED Math Formulas
  5. Tackle Word Problems Like a Pro - Word problems are storytelling puzzles in disguise. Translate sentences into equations to find hidden solutions, like calculating speed from distance and time. Practice this trick to feel like a math detective solving real‑world mysteries. Word Problem Practice
  6. Spot Patterns & Sequences Fast - Patterns and sequences train your number intuition. Arithmetic sequences add a constant difference (e.g., 2, 4, 6, 8 …), so spotting that rule lets you predict future terms. Sharpen this skill to ace any number‑series question. Sequence Patterns Guide
  7. Get Ratios & Proportions in Check - Ratios and proportions compare quantities with balance and ease. If 3 pencils cost $1.50, you know 6 pencils cost $3.00 by keeping the same ratio. This skill's gold for scaling recipes, maps, or blueprints. Ratios & Proportions Tips
  8. Crunch Simple & Compound Interest - Simple and compound interest decide how your money grows over time. Simple interest is I = P × R × T, while compound interest stacks earnings for an extra boost. Master these formulas to level up your financial fitness. Interest Formula Cheat Sheet
  9. Crack Equations & Inequalities - Equations and inequalities are the doorways to algebraic thinking. Isolate variables, balance both sides, and decode solutions like x = 9 from 3x − 7 = 20. Regular practice will turn you into an equation‑cracking whiz. Algebraic Reasoning Tips
  10. Level Up Your Logical Reasoning - Logic puzzles boost your analytical brainpower. Games like Sudoku and logic grids sharpen critical thinking and pattern recognition. Plug in these skills to conquer tricky test questions and challenge your friends. Logic & Puzzle Practice
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