What is the slope of the line y = 3x + 2?
Correct answer: 3
In slope-intercept form y = mx + b, the slope is m, which here is 3.
Algebra, Sums & Geometry Quiz
Work through 10 problems involving algebra, arithmetic, geometry and number patterns. The quiz covers slope, sums, powers, angles, a regular solid, common divisors, percentages, roots, triangular numbers and factorials. Most questions can be checked with a short calculation. Choose the relevant operation first, then test whether the result fits the definition in the prompt.
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Prepare for Algebra, Sums & Geometry Quiz
Identify what the question asks for and check the units. Estimate before calculating so you can spot unlikely results.
Questions to think about
Here is a preview of what you will explore. Answers stay hidden until you finish playing.
- What is the slope of the line y = 3x + 2?
- What is the value of the sum 1 + 2 + 3 + ... + 50?
- What is 2 to the power of 12?
Choose one answer per question. When you finish, review your results and read the explanations to understand any mistakes.
10 of 10 questions currently include additional explanations.
Read the Mathematics learning guide for more context.
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The answers, explained
Check the answers, understand what you missed and take something new into your next quiz.
What is the value of the sum 1 + 2 + 3 + ... + 50?
Correct answer: 1275
The sum of the first n positive integers is n(n + 1)/2. With n = 50, that is 50 × 51 ÷ 2 = 1,275.
What is 2 to the power of 12?
Correct answer: 4096
A power means repeated multiplication: 2¹² is 2 multiplied by itself 12 times, giving 4,096.
In Euclidean geometry, what do the interior angles of a triangle add up to?
Correct answer: 180 degrees
The interior angles of a Euclidean triangle add up to 180 degrees.
How many faces does a regular icosahedron have?
Correct answer: 20
An icosahedron is one of the five Platonic solids. A regular icosahedron has 20 triangular faces, 30 edges and 12 vertices.
What is the greatest common divisor of 54 and 24?
Correct answer: 6
The greatest common divisor is 6: the divisors of 24 include 1, 2, 3, 4, 6, 8, 12 and 24, while 54 is divisible by 1, 2, 3, 6, 9, 18, 27 and 54. No larger number divides both exactly.
What is 30% of 90?
Correct answer: 27
To find 30% of 90, calculate 0.30 × 90 = 27. Ten per cent is 9, so thirty per cent is three times that.
What is the square root of 400?
Correct answer: 20
The square root is the number that multiplied by itself gives the original value. Since 20 × 20 = 400, √400 = 20.
What is the sixth triangular number?
Correct answer: 21
The nth triangular number is n(n + 1)/2. For n = 6, this gives 6 × 7 ÷ 2 = 21. Ordinary hexagonal numbers begin 1, 6, 15, 28; 21 is not one of them.
What is 6 factorial?
Correct answer: 720
Factorial means multiplying every positive integer down to 1: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
Explore the questionsBrowse all 10 questions in this quiz
- What is the slope of the line y = 3x + 2?
- What is the value of the sum 1 + 2 + 3 + ... + 50?
- What is 2 to the power of 12?
- In Euclidean geometry, what do the interior angles of a triangle add up to?
- How many faces does a regular icosahedron have?
- What is the greatest common divisor of 54 and 24?
- What is 30% of 90?
- What is the square root of 400?
- What is the sixth triangular number?
- What is 6 factorial?
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