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Quizzes

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Exam:
26 quizzes
The two acute angles of a right triangle measure 25° and 65°. Find (sin 25°)/(cos 65°) by looking at the triangle. New
High School (9–10), General · Trigonometric Identities
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
A right triangle has sides 13 cm, 84 cm and 85 cm. What is the cosine of its smallest angle? New
High School (9–10), General · Trigonometric Ratios
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
In a right triangle the side next to angle B is 28 cm and the longest side is 53 cm. Work out the sine of B. New
High School (9–10), General · Trigonometric Ratios
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
A rectangular mat is 3 m longer than it is wide, and covers 28 m². How wide is the mat? New
High School (9–10), General · Quadratic Equations
Board Exam, SAT
StemPy LabStemPy Lab
Medium
A slice cut from a round cake of radius 9 cm makes an angle of 2π/9 at the centre. What is the area of the top of the slice? New
High School (11–12) · Angles and Radian Measure
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
The ends of a diameter of a circle are (-2, 3) and (6, -3). What are its centre and radius? New
High School (9–10), General · Distance, Midpoint and Section Formulae
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
a + b = 7 and ab = 10. What is a² + b²? New
High School (9–10), General · Algebraic Identities and Factorisation
Board Exam, SAT
StemPy LabStemPy Lab
Medium
For which value of k does the pair 4x + ky = 10 and 2x + 3y = 5 have infinitely many solutions? New
High School (9–10), General · Pairs of Linear Equations
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
In a group of 60 people, 35 like tea, 30 like coffee and 12 like both. How many like neither?
High School (11–12) · Relations and Functions
Board Exam, SAT
StemPy LabStemPy Lab
Medium
For which value of k do (1, 1), (3, 5) and (6, k) lie on one straight line?
High School (9–10), General · Distance, Midpoint and Section Formulae
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
For which value of k is x + 3 a factor of x² + kx - 12?
High School (9–10), General · Algebraic Identities and Factorisation
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
A number x satisfies x - 1/x = 3. Square both sides to find x² + 1/x².
High School (9–10), General · Algebraic Identities and Factorisation
Board Exam, SAT
StemPy LabStemPy Lab
Medium
x - 2 and x + 1 are both factors of x³ + px² + qx + 4. What is p?
High School (9–10), General · Algebraic Identities and Factorisation
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Hard
Long division of x¹⁰⁰ + 1 by x + 1 would take a hundred steps. Find the remainder in one line instead.
High School (9–10), General · Algebraic Identities and Factorisation
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
Factorise x³ - 2x² - 9x + 18. How many zeroes does it have, and what is their sum?
High School (9–10), General · Algebraic Identities and Factorisation
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Hard
The divisor is 2x - 1 and the polynomial is 2x² + 3x - 1. Use the remainder theorem to find what remains.
High School (9–10), General · Polynomials
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
Find the number k that makes x - 2 divide x³ - 3x² + kx + 2 exactly.
High School (9–10), General · Polynomials
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
What is (81/16)^(-3/4)?
High School (9–10), General · Exponents and Radicals
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
2ˣ = 32. What is 4^(x - 3)?
High School (9–10), General · Exponents and Radicals
Board Exam, SAT, AP, A-Level, IB
StemPy LabStemPy Lab
Medium
4 apples and 3 mangoes cost 50 dollars. 3 apples and 4 mangoes cost 55 dollars. What does one mango cost?
High School (9–10), General · Pairs of Linear Equations
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
A father is 3 times as old as his son. In 10 years he will be 2 times as old as his son. How old is the son now?
High School (9–10), General · Pairs of Linear Equations
Board Exam, SAT
StemPy LabStemPy Lab
Hard
For which value of k does the pair 3x + 5y = 4 and 6x + ky = 3 have no solution?
High School (9–10), General · Pairs of Linear Equations, Pairs of Linear Equations
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
Two lines, x + y = 10 and x - y = 4, cut the y-axis at two points and meet each other at a third. Find the area of the triangle with these three corners.
High School (9–10), General · Pairs of Linear Equations
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Hard
A man travels 20 km in 3 hours. He walks part of the way at 4 km/h and cycles the rest at 12 km/h. How far does he walk?
High School (9–10), General · Pairs of Linear Equations
Board Exam, SAT
StemPy LabStemPy Lab
Hard
The line 5x + 3y = 30 and the two axes enclose a triangle. What is its area?
High School (9–10), General · Linear Equations in Two Variables
Board Exam, SAT, A-Level, IB
StemPy LabStemPy Lab
Medium
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