MYP Mathematics 9–10 | Core Concept Quiz

Welcome to the MYP Math Quiz

20 exam-style multiple choice questions
Covers all 5 major MYP Math units
Each question shows a Concept Review — read it first!
Immediate explanation for every answer
40-minute countdown timer
Score & full answer key at the end

Exam Tip: Read each concept card before answering. Use the process of elimination for tricky options.

Unit 1

Algebra — Linear Equations

ax + b = c → x = (c − b) / a

Key rule: Perform the same operation on both sides to keep the equation balanced.
Example: Solve 3x + 2 = 11 → subtract 2 → 3x = 9 → divide by 3 → x = 3

Algebra Easy

Solve for x: 2x + 3 = 11

Unit 1

Algebra — Quadratic Equations

ax² + bx + c = 0 → Factor or use quadratic formula

x = (−b ± √(b²−4ac)) / 2a

Factoring tip: Find two numbers that multiply to c and add to b.
Example: x²−5x+6=0 → (x−2)(x−3)=0 → x=2 or x=3

AlgebraMedium

Find both solutions of: x² − 7x + 12 = 0

Unit 2

Functions — Gradient (Slope)

m = (y₂ − y₁) / (x₂ − x₁)

Positive slope: line goes up left to right. Negative: goes down.
Example: Points (1,2) and (3,6) → m = (6−2)/(3−1) = 4/2 = 2

FunctionsEasy

Find the gradient (slope) of the line passing through points (2, 1) and (4, 5).

Unit 2

Functions — Evaluating Functions

f(x) = expression → substitute x-value into expression

Example: f(x) = x² + 2x. Find f(3): substitute → 3² + 2(3) = 9 + 6 = 15
Watch out: f(−2) means substitute −2, including parentheses for negatives.

FunctionsMedium

Given f(x) = x² − 3x + 1, find f(−2).

Unit 1

Algebra — Simultaneous Equations

Substitution: express one variable → substitute into other equation

Elimination: multiply equations to cancel one variable

Example: x + y = 5 and x − y = 1 → add equations → 2x = 6 → x = 3, y = 2

AlgebraMedium

The system of equations is 3x − 2y = 12 and x = 2. Find the value of y.

Unit 3

Geometry — Pythagorean Theorem

a² + b² = c² (c = hypotenuse, longest side)

Remember: Only valid for right-angled triangles. The hypotenuse is always opposite the right angle.
Example: a=6, b=8 → c = √(36+64) = √100 = 10

GeometryEasy

A right-angled triangle has legs of length 3 cm and 4 cm. What is the length of the hypotenuse?

Unit 3

Geometry — Volume of Cylinder

V = πr²h (r = radius, h = height)

Area of circular base: πr², multiplied by height h.
Example: r=2, h=5 → V = π(4)(5) = 20π ≈ 62.8 cm³

GeometryMedium

A cylinder has a radius of 3 cm and a height of 10 cm. What is its exact volume?

Unit 3

Geometry — Trigonometry (SOH CAH TOA)

sin θ = Opposite / Hypotenuse

cos θ = Adjacent / Hypotenuse

tan θ = Opposite / Adjacent

Key values: sin30°=0.5, cos60°=0.5, tan45°=1, sin90°=1

GeometryEasy

In a right-angled triangle, the angle is 30°. The hypotenuse is 10 cm. What is the length of the side opposite to the 30° angle?

Unit 4

Probability — Independent Events

P(A and B) = P(A) × P(B) [if independent]

P(A or B) = P(A) + P(B) − P(A and B)

Independent: outcome of A does NOT affect B (e.g. tossing two coins).
Example: P(H)=0.5, P(H)=0.5 → P(both H) = 0.5×0.5 = 0.25

ProbabilityMedium

Events A and B are independent. P(A) = 0.3 and P(B) = 0.4. What is P(A and B)?

Unit 5

Statistics — Mean, Median, Mode

Mean = (sum of all values) / (number of values)

Median = middle value when data is ordered

Mode = most frequently occurring value

Example: Data: 3, 5, 5, 7, 10 → Mean=(30/5)=6, Median=5, Mode=5

StatisticsEasy

Find the mean of the data set: 2, 4, 6, 8, 10

Unit 1

Algebra — Laws of Exponents

aᵐ · aⁿ = aᵐ⁺ⁿ (aᵐ)ⁿ = aᵐⁿ aᵐ/aⁿ = aᵐ⁻ⁿ

a⁰ = 1 a⁻ⁿ = 1/aⁿ

Example: 3² × 3³ = 3⁵ = 243 | (2³)² = 2⁶ = 64

AlgebraMedium

Evaluate: 2³ × 2⁴

Unit 2

Functions — Quadratic Graphs

y = ax² + bx + c (parabola)

Vertex: x = −b / 2a If a>0: opens up; if a<0: opens down

Example: y = x² − 4x + 3: vertex x=2, y=(4−8+3)=−1 → vertex (2, −1), opens upward.

FunctionsMedium

Which statement about the parabola y = 2x² is correct?

Unit 3

Geometry — Arc Length

Arc Length = (θ / 360°) × 2πr

Sector Area = (θ / 360°) × πr²

Example: r=4, θ=90° → Arc Length = (90/360)×2π(4) = (1/4)(8π) = 2π ≈ 6.28

GeometryHard

A circle has radius 6 cm and a sector with central angle 60°. What is the arc length of this sector?

Unit 5

Statistics — Interquartile Range (IQR)

IQR = Q3 − Q1

Q1 = median of lower half Q3 = median of upper half

Example: Data: 2, 4, 6, 8, 10, 12 → Q1=4, Q3=10 → IQR=10−4=6
IQR measures the spread of the middle 50% of data. Resistant to outliers.

StatisticsMedium

What does the IQR (Interquartile Range) measure?

Unit 1

Algebra — Expanding & Simplifying

(aˣyᵃ)ⁿ = aⁿx^(n·exponent) y^(n·exponent)

Power rule: raise each factor inside to the outside power

Example: (3x²)² = 3²·x⁴ = 9x⁴
Watch out: Square the coefficient too! (2x)² = 4x², not 2x².

AlgebraHard

Simplify: (2x³y²)²

Unit 2

Functions — Equation of a Line

Slope-intercept: y = mx + b (m=slope, b=y-intercept)

Point-slope: y − y₁ = m(x − x₁)

Example: slope=3, passes through (1,2) → y−2=3(x−1) → y=3x−1

FunctionsMedium

A line has gradient −2 and passes through point (0, 5). What is the equation of this line?

Unit 3

Geometry — Finding an Angle using Trigonometry

θ = sin⁻¹(opp/hyp) or cos⁻¹(adj/hyp) or tan⁻¹(opp/adj)

Example: opp=3, hyp=5 → θ = sin⁻¹(3/5) = sin⁻¹(0.6) ≈ 36.87°
Use inverse trig functions on your calculator to find the angle.

GeometryHard

In a right-angled triangle, the side adjacent to angle θ is 4 cm and the hypotenuse is 5 cm. Find angle θ to the nearest degree.

Unit 1

Algebra — Compound Interest

A = P(1 + r/n)^(nt)

A = final amount, P = principal, r = annual rate (decimal), n = times compounded per year, t = years

Example: P=1000, r=5%=0.05, n=1, t=2 → A=1000(1.05)²=1000×1.1025=$1102.50

AlgebraHard

Which formula correctly represents compound interest, where A is the final amount, P is the principal, r is the annual interest rate, n is the number of compounding periods per year, and t is the time in years?

Unit 4

Probability — Set Theory & Venn Diagrams

n(A ∪ B) = n(A) + n(B) − n(A ∩ B)

A ∪ B = "A or B" (union) | A ∩ B = "A and B" (intersection)

Example: n(A)=7, n(B)=5, n(A∩B)=2 → n(A∪B) = 7+5−2 = 10

ProbabilityMedium

In a class, 10 students play football, 8 students play basketball, and 3 students play both. How many students play at least one of these sports?

Unit 1

Algebra — Arithmetic Sequences

aₙ = a₁ + (n − 1)d

aₙ = nth term, a₁ = first term, d = common difference, n = term number

Example: 5, 9, 13, 17 … → d=4, a₁=5 → a₁₀ = 5+(10−1)×4 = 5+36 = 41

AlgebraHard

The arithmetic sequence is: 3, 7, 11, 15, 19, …
What is the 10th term of this sequence?

Quiz Complete!

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Core Concept Quiz

Welcome to the MYP Math Quiz

Algebra — Linear Equations

Algebra — Quadratic Equations

Functions — Gradient (Slope)

Functions — Evaluating Functions

Algebra — Simultaneous Equations

Geometry — Pythagorean Theorem

Geometry — Volume of Cylinder

Geometry — Trigonometry (SOH CAH TOA)

Probability — Independent Events

Statistics — Mean, Median, Mode

Algebra — Laws of Exponents

Functions — Quadratic Graphs

Geometry — Arc Length

Statistics — Interquartile Range (IQR)

Algebra — Expanding & Simplifying

Functions — Equation of a Line

Geometry — Finding an Angle using Trigonometry

Algebra — Compound Interest

Probability — Set Theory & Venn Diagrams

Algebra — Arithmetic Sequences

Quiz Complete!

Answer Key & Explanations