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Quizzes > Quizzes for Business > Education

Grade 7 Mathematics Quiz Challenge

Test Your Algebra and Geometry Skills Today

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art depicting elements related to Grade 7 Mathematics Quiz.

Take this engaging Grade 7 math quiz to challenge your understanding of key concepts from algebra to geometry. Students looking for a comprehensive Mathematics Practice Quiz or a focused Mathematics Skills Assessment Quiz will find this test invaluable for mastering number operations and problem-solving strategies. Educators and learners can customise every question in our editor to suit individual learning goals. Dive into more quizzes and track progress as confidence grows. Get ready to test your knowledge and improve your math skills!

Solve for x: x + 5 = 12.
17
-7
7
6
Subtracting 5 from both sides gives x = 12 - 5 = 7. This isolates x correctly.
What is the area of a rectangle with length 7 and width 4?
11
32
22
28
Area of a rectangle is length × width, so 7 × 4 = 28 square units.
Simplify the ratio 2:6.
2:6
1:2
1:3
3:1
Divide both terms by their greatest common divisor 2, giving 2 ÷ 2 : 6 ÷ 2 = 1:3.
Find the next number in the sequence: 2, 4, 6, 8, __.
12
8
9
10
This is an arithmetic sequence increasing by 2 each time, so 8 + 2 = 10.
Compute: -3 + 5 = ?
1
2
-8
-2
Adding -3 and 5 yields 5 - 3 = 2. The positive term dominates.
Solve the inequality: 2x - 3 < 7.
x < 5
x > 5
x < 2
x > 2
Add 3 to both sides to get 2x < 10, then divide by 2 to find x < 5.
What is the area of a triangle with base 10 and height 6?
60
30
40
16
Area of a triangle = ½ × base × height = 0.5 × 10 × 6 = 30.
Find the volume of a cube with side length 3.
18
9
81
27
Volume of a cube is side³, so 3³ = 27 cubic units.
What is 20% of 150?
75
3
30
20
20% means 0.20 × 150 = 30.
In the proportion 3/4 = x/12, what is x?
9
16
8
12
Cross-multiply: 3 × 12 = 4 × x, so 36 = 4x and x = 9.
What is the next term in the sequence 5, 9, 13, 17, __?
18
21
17
20
This sequence adds 4 each time: 17 + 4 = 21.
Which is larger: -1/2 or -2/3?
-2/3
They are equal
-1/2
Cannot determine
On the number line, -1/2 is to the right of -2/3, so -1/2 is larger.
A bag contains 3 red and 5 blue marbles. What is the probability of drawing a red marble?
1/2
3/8
3/5
5/8
There are 8 total marbles, 3 are red, so probability = 3/8.
Solve for x: 4(x - 2) = 12.
2
8
5
3
Divide both sides by 4 to get x - 2 = 3, then add 2 to get x = 5.
What is the 5th term of the sequence defined by n²: 1, 4, 9, 16, __?
20
30
23
25
The nth term is n², so the 5th term is 5² = 25.
Solve for x: 3x + 2 = 2x + 5.
3
1
2
5
Subtract 2x from both sides to get x + 2 = 5, then subtract 2 to find x = 3.
Find the combined area of a rectangle 6×4 and a triangle with base 6 and height 2.
28
36
12
30
Rectangle area = 6×4 = 24; triangle area = ½×6×2 = 6; total = 24 + 6 = 30.
Approximate the volume of a cylinder with radius 3 cm and height 7 cm (π≈3.14).
219.9
188.4
172.8
198
Volume = πr²h ≈ 3.14×9×7 = 3.14×63 ≈ 197.82, rounded to 198.
An item costs $80, is discounted by 15%, then taxed at 8%. What is the final price?
$69.36
$75.60
$73.44
$66.64
After 15% off: 80×0.85 = 68; then 8% tax: 68×1.08 = 73.44.
Given the sequence 2, 5, 10, 17, 26, …, what is the 10th term?
101
121
100
111
The nth term is n² + 1. For n=10: 10² + 1 = 100 + 1 = 101.
What is the probability of rolling two fair dice and getting a sum greater than 10?
1/12
1/9
1/6
1/8
Sums >10 are 11 (2 ways) and 12 (1 way) for 3 out of 36 outcomes, so 3/36 = 1/12.
0
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Learning Outcomes

  1. Analyse linear equations and inequalities to find solutions
  2. Evaluate properties of geometric figures including area and volume
  3. Master ratio, proportion, and percentage problems
  4. Identify patterns in sequences and number operations
  5. Demonstrate understanding of integers and rational numbers
  6. Apply probability concepts to simple experiments

Cheat Sheet

  1. Solving linear equations and inequalities - Think of equations as mysterious puzzles where the goal is to isolate the secret number. By performing equal operations on both sides - like subtracting, adding, multiplying, or dividing - you'll reveal the value of x or y in no time! Solving equations and inequalities
    2. Solving equations and inequalities
  2. Calculating area and volume - Ready to play architect? Knowing that area = length × width and volume = length × width × height helps you measure floors, rooms, and boxes like a pro. Visual diagrams make these formulas stick like glue! Area and Volume Formulas
    3. Area and Volume Formulas
  3. Mastering ratios, proportions, and percentages - Ever wondered how bakers scale recipes? By understanding that a ratio of 2:3 means 2 cups of flour to 3 cups of sugar, you can keep every batch perfectly balanced. Percentages let you compare slices of the same pie faster than you can say "math magic!" Ratios & Proportional Relationships
    4. Ratios & Proportional Relationships
  4. Analyzing sequences and patterns - Numbers love to follow rules, like adding the same amount each time in an arithmetic sequence. Spotting this constant difference lets you predict future terms and unlock numerical mysteries in a snap! Sequences and Series
    5. Sequences and Series
  5. Working with integers and rational numbers - Dive into positives and negatives like a number ninja: subtracting a negative is like adding a friend, and two negatives multiplied magically give a positive! Fractions let you slice numbers into tasty pieces you can mix and match. Integers and Rational Numbers
    6. Integers and Rational Numbers
  6. Introduction to probability - Flip a coin, roll a die, or draw a card - probability predicts how often your favorite events happen! Knowing that flipping heads has a 1/2 chance helps you see the math in everyday experiments. Introduction to Probability
    7. Introduction to Probability
  7. Computing unit rates - Speed demons and savvy shoppers rejoice at unit rates: divide distance by time to find speed or cost by quantity to snag the best deals! Master this skill to compare anything from miles per hour to price per pound. Compute Unit Rates
    8. Compute Unit Rates
  8. Representing proportional relationships - Tables, graphs, and equations are your secret trio for visualizing how two quantities grow together. Spot the constant of proportionality to see patterns leap off the page! Proportional Relationships
    9. Proportional Relationships
  9. Generating equivalent expressions - Use the distributive property and combine like terms to rewrite algebraic expressions in slick new forms. These tricks make solving complex problems feel like child's play! Equivalent Expressions
    10. Equivalent Expressions
  10. Developing probability models - Build simple models to predict outcomes, like drawing colored balls from a bag, and test how well they match real-life results. It's like being a statistician detective, uncovering the secrets of chance! Probability Models
    11. Probability Models
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