Further Mathematics Mock Exam

If P = x : -2

• x : -5

• x : -5≤ x ≤ 5

• x : -5≤ x <5

• x : -5

Express 8-3623+ 32 in the form : P3 + Q2

• 73 - 1732

• - 1733 + 72

• - 1733 - 72

• -73 - 1732

An operation * is defined on the set ℝ, of real numbers by p * q = p + q + 2pq. If the identity element of the operation is zero, find the value of p for which the operation has no inverse.

• - 12

• 0

• 23

• 2

Consider the statements: p: Adam is short. q: Adam is brilliant. Which of the following represents the statement "Adam is short but not brilliant"?

• p˅q

• p˅¬q

• p˄¬q

• p˄q

If fx = 4x- 1, x≠0, find f-1.

• -37

• 0

• 12

• 4

If y=4x-1, list the range of the domain -2≤x≤2, where x is an integer.

• -9,-1,2,3,4

• -9,-2,0,1,7

• -5,-1,2,3,4

• -9,-5,-1,3,7

Factorizes completely: x² + x²y+3x-10y+3xy-10.

• (x + 2)( x+5)(y+1)

• (x + 2)( x-5)(y+1)

• (x - 2)( x+5)(y+1)

• (x - 2)( x-5)(y+1)

If the solution set of x2+kx-5=0 is {-1,5}, find the value of k.

• -6

• -4

• 5

• 5

The reminder when x3-2x+m is divided by x-1 is equal to the remainder when 2x3-2x+m is divided by 2x+1.

• - 78

• - 38

• 18

• 58

If 2t+3st-s=0, find ts.

• 32 & 1

• 32 & -1

• -32 & -1

• - 32 & 1