Beyond Horizon Set 3 Paper 2
20 questions · 75 min · Difficulty 61 · by Beyond Horizon
Read the questions freely. Sign in to answer them, start a timed paper and save your progress.
Question paper ↗Answer key ↗Original question paper (before corrections) ↗Original mark scheme (before corrections) ↗
Questions in this paper
- Question 1Which of these numbers is the largest?
- Question 2The graph of the function y=2^(x^2-4x+3) can be obtained from the graph of y=2^(x^2) by
- Question 3Find the highest power of x in [((2x^5+6)^4+(4x^6+3)^3)^7+((2x^4+3x^5)^5-(x^7-6)^4)^5]^(10)
- Question 4Three positive numbers a,b,c satisfy log_b a=2, log_b(c-3)=3, log_a(c+5)=2. This information
- Question 5Which of these people A–E must be telling the truth if they each speak as follows?
- Question 6(*) is the statement that the functions f(x)=b^(ax) g(x)=b^(x^a) h(x)=b^(a^x) are all defined and increasing for x>0. Find the range of a…
- Question 7Each of the positive real numbers a,b,c,d,e is decreased by 20\%. Find the resulting percentage change in the value of the following…
- Question 8Let f be a linear function with the properties that f(1)≤ f(2), f(3)≥ f(4), and f(5)=5. Which of the following is true?
- Question 9When n standard 6-sided dice are rolled, the probability of obtaining a sum of 1994 is greater than zero and is the same as the probability…
- Question 10A hockey team consists of 1 goalkeeper, 4 defenders, 4 midfielders and 2 forwards. There are 4 substitutes: 1 goalkeeper, 1 defender, 1…
- Question 11Consider the unit circle x^2+y^2=1. The locus of a point P such that the tangents PA,PB at the points A,B respectively of the circle are so…
- Question 12Let l,m,n be any three positive integers such that l^2+m^2=n^2. Then,
- Question 13Suppose n≥ 2 is a fixed positive integer and f(x)=x^n|x|, x. Then
- Question 14There are 100 people in a queue waiting to enter a hall. The hall has exactly 100 seats numbered from 1 to 100. The first person in the…
- Question 15Find an expression for ∫_1^n(-1)^(lfloor xrfloor)lfloor xrfloor^(-1) dx where n.
- Question 16The mean, median, unique mode, and range of a collection of eight integers are all equal to 8. The largest integer that can be an element…
- Question 17For all x such that 1≤ x≤ 3, the inequality (x-3a)(x-a-3)<0 holds for
- Question 18A set of tiles numbered 1 through 100 is modified repeatedly by the following operation: remove all tiles numbered with a perfect square…
- Question 19If a and b are positive numbers and c and d are real numbers, positive or negative, then a^c≤ b^d
- Question 20Consider the triangular array of numbers with 0,1,2,3,… along the sides and interior numbers obtained by adding the two adjacent numbers in…