SIICOL ASSESSMENT (SS1 FURTHER MATHEMATICS)

If P = {x:1≤x≤6} and Q = {x:2<x<9}, where xϵ R, find PnQ

• {x:2≤x≤6}

• {x:2≤x<6}

• {x:2<x<6}

• {x:2<x≤6}

A binary operation * is defined on the set R, of real numbers by a*b=ab/4 find the value of √2 * √6.

• √3

• 3√2/4

• √3/2

• √2/2

Find the sum to infinity of the exponential series 96+24+6+…

• 144

• 128

• 72

• 64

Find the value of p which will make x2-x+p a perfect square.

• -1/2

• 1/4

• 1/2

• 1

A binary operation * is defined on the set R of real number by a * b = a2 + b + ab. Find the value of x for which 5 * x = 37.

• 7

• 2

• -2

• -7

The first term of a geometric series is 350. If the sum to infinity is 250, find the common ratio

• -5/7

• -2/5

• 2/5

• 5/7

The roots of a quadratic equation are -3 and 1. Find its equation

• X2-3x+1=0

• X2-2x+1=0

• X2+2x-3=0

• X2+x-3=0

If (x-3) is a factor of 2x2-2x+p, find the value of constant p

• -6

• -12

• 3

• 6

Given that P = {x: x is a factor of 6} is the domain of g(x)=x2+3x-5, find the range of g(x)

• {-1,5,13,49}

• {-1,5,13}

• {1,2,3,6}

• {5,13,49}

The third term of geometric progression (GP) is 10 and the sixth term is 80. Find the common ratio

• 8

• 4

• 3

• 2