Official Specimen Paper 2
20 questions · 75 min · Difficulty 35
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Questions in this paper
- Question 1The radius of the circle 2x^2+2y^2-8x+12y+15=0 is
- Question 2The gradient of the curve y=dfrac(3x-2)^2x√(x) at the point where x=2 is
- Question 3Consider the following attempt to solve an equation. The steps have been numbered for reference. √(x+5)=x+3 (1) x+5=x^2+6x+9 (2) x^2+5x+4=0…
- Question 4A set of five cards each have a letter printed on their front and a number printed on their back, as follows: | | Card A | Card B | Card C…
- Question 5Using the observation that 2^5≈3^3, it is possible to deduce that log_3 2 is approximately
- Question 6The area of a rectangle is measured to be 5600 cm^2 correct to 2 significant figures. The width of the rectangle is measured to be 80 cm…
- Question 7Which one of the following is a sketch of the graph (x+y)(x^2-xy+y^2)=1?
- Question 8Consider the following statement about the positive integer n: > Statement (*): The sum of the four consecutive integers, the smallest of…
- Question 9Consider the statement about Fred: > (*) Every day next week, Fred will do at least one maths problem. If statement (*) is not true, which…
- Question 10Which one of the following is a sketch of the graph of y=log_x2 for x>1?
- Question 11Which one of the following numbers is largest in value? (All angles are given in radians.)
- Question 12A polynomial p(x) has the property that p(1)=2. Which one of the following can be deduced from this?
- Question 13Five runners competed in a race: Fred, George, Hermione, Lavender, and Ron. > Fred beat George. > > Hermione beat Lavender. > > Lavender…
- Question 14The graph of the polynomial function y=ax^5+bx^4+cx^3+dx^2+ex+f, is sketched, where a, b, c, d, e, and f are real constants with a≠0. Which…
- Question 15For any real numbers a, b, and c where a≥ b, consider these three statements: - 1. -b≥-a - 2. a^2+b^2≥2ab - 3. ac≥ bc Which of the…
- Question 16The sequence a_n is given by the rule: a_1=2 a_(n+1)=a_n+(-1)^n n≥1. What is Σ_(n=1)^(100)a_n?
- Question 17Let S be a set of positive integers, for example S could consist of 3, 4, and 8. A positive integer n is called an S-number if and only if…
- Question 18A group of five numbers are such that: - their mean is 0 - their range is 20 What is the largest possible median of the five numbers?
- Question 19The positive real numbers a, b, and c are such that the equation x^3+ax^2=bx+c has three real roots, one positive and two negative. Which…
- Question 20Five logicians each make a statement, as follows: - Mr P: Of these five statements, an odd number are true. - Ms Q: Both statements made by…