Beyond Horizon Set 3 Paper 1
20 questions · 75 min · Difficulty 41 · by Beyond Horizon
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Questions in this paper
- Question 1Consider the inequality √(x+3)-√(x-1)≥ 1. Find the range of x that satisfies this inequality.
- Question 2Let d_1,d_2,…,d_k be all the factors of a positive integer n including 1 and n. Suppose d_1+d_2+…+d_k=72. Find the value of…
- Question 3How many values of x satisfy the equation 3cos^2x+4sin x=3 in the range 0≤ x<2π?
- Question 4Which power of x which has the greatest coefficient in the expansion of (1+frac23x)^(12)
- Question 5Which of the following numbers is the largest in value?
- Question 6If 2log(α-2β)=log(α)+log(β), find the value of (α)/(β).
- Question 7Three boys of class I, 4 boys of class II and 5 boys of class III sit in a row. The number of ways they can sit, so that boys of the same…
- Question 8The area enclosed between the line y=kx and the curve y=x^3 is 8. What is the value of k?
- Question 9The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is
- Question 10The curve y=2x^3-9x+5 has turning points at x=α and x=β, where β>α. Find ∫_α^β(2x^3-9x+5) dx
- Question 11A rectangle is drawn in the region enclosed by the curves p and q, where p(x)=10-3x^2 q(x)=x^2-3 such that the sides of the rectangle are…
- Question 12Use the trapezium rule with 3 strips to estimate ∫_1^3 3log_(10)x dx
- Question 13A club with x members is organized into four committees according to the following rules: - 1. Each member belongs to exactly two…
- Question 14If α and β are roots of the equation x^2+5x-5=0, then ((1)/(α+1))^3+((1)/(β+1))^3 equals
- Question 15The functions f,g, and h are related by f'(x)=g(x+2) g'(x)=h(x-2) It follows that f"(3x) equals
- Question 16The letters of the word “MOTHER” are permuted, and all the permutations so formed are arranged in alphabetical order as in a dictionary…
- Question 17The number of terms in the expansion of (x+y+z+w)^(10) is
- Question 18Let \F_n\ be the sequence of numbers defined by F_1=1=F_2; F_(n+1)=F_n+F_(n-1) for n≥ 2. Let f_n be the remainder left when F_n is divided…
- Question 19What is the value of the expression 1+frac12binomn1+frac13binomn2+…+(1)/(n+1)binomnn
- Question 20What is the value of this expression (q≠ 1) (1+q)(1+q^2)(1+q^4)(1+q^8)(1+q^(16))(1+q^(32))(1+q^(64)),