MATH PLACEMENT TEST PAPER 2025/2026 QUESTIONS
WITH ANSWERS TAGGED A+
✔✔r = C/2π - ✔✔What is the relationship of the radius to circumference?
✔✔r = (√Area)/π - ✔✔What is the relationship of the radius to area of a circle?
✔✔x°(2πr)/360° - ✔✔Length of an arc
✔✔x°(πr²)/360° - ✔✔The area of a sector of a circle
✔✔2r + length of arc or 2r + x°(2πr)/360° - ✔✔What is the circumference of a sector
✔✔2π - ✔✔How many radians in a circle?
✔✔π - ✔✔180° is how many radians?
✔✔90° or (0,1) - ✔✔Give degrees and coordinates for π/2
✔✔180° and (-1,0) - ✔✔Give degrees and coordinates for π
✔✔45° or (√2/2, √2/2) - ✔✔Give degrees and coordinates for π/4
✔✔π/4, 3π/4, 5π/4, 7π/4 - ✔✔Unit circle with 4 in denominator
✔✔60° or (1/2, √3/2) - ✔✔Give degrees and coordinates for π/3
✔✔π/3, 2π/3, 4π/3, 5π/3 - ✔✔Unit circle with 3 in denominator
✔✔30° or (√3/2, 1/2) - ✔✔Give degrees and coordinates for π/6
✔✔π/6, 5π/6, 7π/6, 11π/6 - ✔✔Unit circle with 6 in denominator
✔✔270° or (0,-1) on unit circle - ✔✔Give degrees and coordinates for 3π/2
✔✔x - ✔✔Which coordinates correspond with cos on unit circle?
✔✔x(180/π)° - ✔✔x radians in degrees?
✔✔x(π/180) radians - ✔✔x° = how many radians?
✔✔x⁵ - ✔✔(x²)(x³) =
, ✔✔1/x² - ✔✔x⁻²
✔✔1/x - ✔✔x⁻¹
✔✔(x^n)(x^m) = - ✔✔x^(n+m)
✔✔x²⁺³ = x⁵ - ✔✔(x²)(x³)=
✔✔x⁶ - ✔✔(x²)³ =
✔✔(x^n)^m = - ✔✔x^nm
✔✔x^n/x^m = - ✔✔x^(n-m)
✔✔(a+b)(a-b) - ✔✔Factor a² - b²
✔✔a² - b² - ✔✔What is (a+b)(a-b)
✔✔a² + 2ab +b² - ✔✔What is (a+b)²?
✔✔(a+b)² - ✔✔Factor a² + 2ab +b²
✔✔a² - 2ab +b² - ✔✔What is (a-b)²?
✔✔(a-b)² - ✔✔Factor a² - 2ab +b²
✔✔(a+c)(a-d) - ✔✔Factor a² + 2ab - b²
✔✔(a-c)(a-d) - ✔✔Factor a² - 2ab + b²
✔✔(a+c)(a+d) - ✔✔Factor a² + 2ab + b²
✔✔a=c and bx=dx - ✔✔a+bx = c+dx
✔✔2¾=11/4
(2)×(4) +3 all over denominator (4) - ✔✔How do you change a mixed fraction to an
imporoper fraction? e.g. 2¾
✔✔Divide the denominator into the numerator. The answer is the whole number and the
remainder is the new numerator (same denominator). e.g. 11/4 = 2¾ - ✔✔How do you
change an Improper Fraction to Mixed fraction?
✔✔.021 = 2.1/100 - ✔✔Other ways to write 2.1%
WITH ANSWERS TAGGED A+
✔✔r = C/2π - ✔✔What is the relationship of the radius to circumference?
✔✔r = (√Area)/π - ✔✔What is the relationship of the radius to area of a circle?
✔✔x°(2πr)/360° - ✔✔Length of an arc
✔✔x°(πr²)/360° - ✔✔The area of a sector of a circle
✔✔2r + length of arc or 2r + x°(2πr)/360° - ✔✔What is the circumference of a sector
✔✔2π - ✔✔How many radians in a circle?
✔✔π - ✔✔180° is how many radians?
✔✔90° or (0,1) - ✔✔Give degrees and coordinates for π/2
✔✔180° and (-1,0) - ✔✔Give degrees and coordinates for π
✔✔45° or (√2/2, √2/2) - ✔✔Give degrees and coordinates for π/4
✔✔π/4, 3π/4, 5π/4, 7π/4 - ✔✔Unit circle with 4 in denominator
✔✔60° or (1/2, √3/2) - ✔✔Give degrees and coordinates for π/3
✔✔π/3, 2π/3, 4π/3, 5π/3 - ✔✔Unit circle with 3 in denominator
✔✔30° or (√3/2, 1/2) - ✔✔Give degrees and coordinates for π/6
✔✔π/6, 5π/6, 7π/6, 11π/6 - ✔✔Unit circle with 6 in denominator
✔✔270° or (0,-1) on unit circle - ✔✔Give degrees and coordinates for 3π/2
✔✔x - ✔✔Which coordinates correspond with cos on unit circle?
✔✔x(180/π)° - ✔✔x radians in degrees?
✔✔x(π/180) radians - ✔✔x° = how many radians?
✔✔x⁵ - ✔✔(x²)(x³) =
, ✔✔1/x² - ✔✔x⁻²
✔✔1/x - ✔✔x⁻¹
✔✔(x^n)(x^m) = - ✔✔x^(n+m)
✔✔x²⁺³ = x⁵ - ✔✔(x²)(x³)=
✔✔x⁶ - ✔✔(x²)³ =
✔✔(x^n)^m = - ✔✔x^nm
✔✔x^n/x^m = - ✔✔x^(n-m)
✔✔(a+b)(a-b) - ✔✔Factor a² - b²
✔✔a² - b² - ✔✔What is (a+b)(a-b)
✔✔a² + 2ab +b² - ✔✔What is (a+b)²?
✔✔(a+b)² - ✔✔Factor a² + 2ab +b²
✔✔a² - 2ab +b² - ✔✔What is (a-b)²?
✔✔(a-b)² - ✔✔Factor a² - 2ab +b²
✔✔(a+c)(a-d) - ✔✔Factor a² + 2ab - b²
✔✔(a-c)(a-d) - ✔✔Factor a² - 2ab + b²
✔✔(a+c)(a+d) - ✔✔Factor a² + 2ab + b²
✔✔a=c and bx=dx - ✔✔a+bx = c+dx
✔✔2¾=11/4
(2)×(4) +3 all over denominator (4) - ✔✔How do you change a mixed fraction to an
imporoper fraction? e.g. 2¾
✔✔Divide the denominator into the numerator. The answer is the whole number and the
remainder is the new numerator (same denominator). e.g. 11/4 = 2¾ - ✔✔How do you
change an Improper Fraction to Mixed fraction?
✔✔.021 = 2.1/100 - ✔✔Other ways to write 2.1%
