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Quizzes > High School Quizzes > Mathematics

Interactive Number Sense Practice Quiz

Boost learning with interactive number sense worksheets

Difficulty: Moderate
Grade: Grade 3
Study OutcomesCheat Sheet
Colorful paper art promoting The Number Sense Challenge quiz for middle school students.

In the number 372, what is the value of the digit 7?
70
7
700
17
The digit 7 is in the tens place, which means its value is 70. Place value shows that each digit is multiplied by a power of ten based on its position.
Which number is the smallest among these: 45, 56, 37, 63?
45
56
37
63
Comparing all the numbers, 37 is the smallest when placed in order. This question helps build skills in number comparison.
What is 15 + 8?
23
22
24
25
Adding 15 and 8 results in 23. This straightforward addition problem solidifies basic arithmetic skills.
If you have 3 groups of 4 apples, how many apples do you have in total?
7
12
9
15
Multiplying the number of groups (3) by the number of apples per group (4) gives 12 apples. This reinforces the concept of multiplication as repeated addition.
Estimate the sum of 48 and 27 by rounding each number to the nearest ten.
70
80
90
100
Rounding 48 to 50 and 27 to 30 gives an estimated sum of 80. Estimation helps simplify calculations while maintaining reasonable accuracy.
Which number is divisible by both 2 and 5?
30
24
35
42
30 ends in 0, making it divisible by both 2 and 5. Divisibility rules rely on digit patterns and this property confirms the answer.
Subtract 29 from 57. What is the result?
27
28
29
30
When you subtract 29 from 57, you obtain 28. This subtraction problem reinforces basic arithmetic operations.
If you split 36 into 4 equal groups, how many items are in each group?
8
9
10
12
Dividing 36 by 4 gives 9 items per group. Equal partitioning of a number tests understanding of division.
Which number comes next in the sequence: 5, 10, 15, ?
18
20
25
30
The sequence increases by 5 with each term, so the next number is 20. Recognizing and extending patterns is a key number sense skill.
What is the product of 6 and 7?
42
36
48
40
Multiplying 6 by 7 yields 42, which reinforces the concept of multiplication as repeated addition. This is a fundamental arithmetic operation.
Round 67 to the nearest ten.
60
70
65
68
Since 67 is closer to 70 than 60, it rounds up to 70. Rounding is an essential skill for estimation and approximation.
What is the result of 100 minus 45?
55
45
65
75
Subtracting 45 from 100 results in 55. This basic problem checks the understanding of subtraction principles.
How many tens are in 120?
10
11
12
20
Dividing 120 by 10 shows that there are 12 tens in 120. This emphasizes the concept of place value in our number system.
Which fraction is equivalent to 1/2?
2/4
3/5
4/5
1/3
The fraction 2/4 simplifies to 1/2, making it equivalent. Recognizing equivalent fractions is fundamental in understanding ratios and proportions.
What is the value of the expression 3 + 4 × 2?
11
14
10
7
According to the order of operations, multiplication is performed before addition. Calculating 4 × 2 and then adding 3 results in 11.
Which of the following numbers is both a perfect square and a perfect cube?
64
36
16
81
64 is a perfect square (8 × 8) and a perfect cube (4 × 4 × 4). This dual property makes it unique among the given options.
What is the sum of the first five positive even numbers?
20
25
30
35
The first five positive even numbers are 2, 4, 6, 8, and 10, which sum to 30. This problem reinforces sequential addition and understanding even numbers.
If a number is increased by 20% and then decreased by 20%, is the final number equal to the original number?
Yes
No
Sometimes
Cannot determine
A 20% increase followed by a 20% decrease does not return the number to its original value because the decrease is applied to a larger number. For example, starting with 100 yields 120 then 96.
Solve for x: If x divided by 5 equals 7, what is the value of x?
35
12
7
5
Multiplying both sides of the equation x/5 = 7 by 5 gives x = 35. This problem emphasizes the fundamentals of solving linear equations.
Which of the following represents the correct order of operations for evaluating 8 + 2 × (3² - 1)?
Calculate 3², subtract 1, multiply by 2, then add 8
Multiply 2 by 3, square the result, subtract 1, then add 8
Add 8 and 2, then compute 3² and subtract 1
Subtract 1 from 3², add 8, then multiply by 2
The proper order is to evaluate the expression inside the parentheses first: calculate 3² then subtract 1. Next, multiply by 2 and finally add 8. This follows the standard order of operations (PEMDAS).
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Study Outcomes

  1. Understand key concepts of number sense and mathematical reasoning.
  2. Analyze numerical relationships and patterns effectively.
  3. Apply basic arithmetic operations to solve diverse problems.
  4. Evaluate different approaches to enhance problem-solving skills.
  5. Build confidence in handling math challenges under test conditions.

Number Sense Practice Cheat Sheet

  1. Master Place Value - Place value is the secret code of numbers! Dive into thousands, hundreds, tens, and ones to read, write, and compare numbers like a pro. thecorestandards.org
  2. Sharpen Rounding Skills - Rounding makes huge numbers feel small by estimating to the nearest 10 or 100. Practice these quick tricks to speed up mental math and boost your confidence. thecorestandards.org
  3. Conquer Addition & Subtraction - Add and subtract within 1,000 using place value strategies and properties like the commutative rule. With the right approach, tough problems become a piece of cake! thecorestandards.org
  4. Multiply by Tens - Multiplying one-digit numbers by multiples of 10 (think 9 × 80) is easier when you use place value tricks. Learn to shift digits and zeros to get the right answer in no time. thecorestandards.org
  5. Visualize with Models - Base-ten blocks and number lines turn abstract numbers into hands-on fun. Build strong number sense by representing numbers in different, colorful ways. thirdspacelearning.com
  6. Up Your Skip Counting Game - Skip counting by 2s, 5s, and 10s up to 1,000 is like a mental warm‑up for math champions. This practice supercharges your multiplication and division skills. 2cool4school.org
  7. Detect Number Patterns - Spotting arithmetic sequences and number tricks makes math feel like solving a puzzle. Train your brain to predict what comes next and feel like a detective! twinkl.com
  8. Compare & Order Like a Pro - Line up numbers from smallest to largest (and vice versa) to see relationships clearly. This skill builds the foundation for everything from fractions to algebra. 2cool4school.org
  9. Map It on a Number Line - Number lines are your treasure map for addition and subtraction. Plot points, count jumps, and watch tricky problems become straightforward adventures. teachervision.com
  10. Apply in Real Life - Turn your number sense skills loose on everyday problems like budgeting or measuring. Real-world practice boosts critical thinking and turns you into a math hero! thirdspacelearning.com
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