FUTO Mathematics 2017/2018 - Model 1 Past Questions

Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest

If log₁₀4 = 0.6021, evaluate log₁₀$${4^{\frac12}}$$

If y = x² - x - 12, find the range of values of x for which y ≥ 0.

3 girls share a number of apples in the ratio 5:3:2. If the highest share is 40 apples, find the smallest share.

Rationalize $${\frac2{6 - 5\sqrt3}}$$

The modal height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.45, 1.50, 1.35, 1.50 and 1.20 are m and r respectively. Find m + 2r.

The mean of the numbers 2,5,2x and 7 is less than or equal to 5. Find the range of the value of x.

Given that a = log 7 and b = log 2, express log 35 in terms of a and b.

Given that cos 30° = sin 60° = $${\sqrt{\frac32}}$$ and sin 30° = cos 60° = $${\frac12}$$, evaluate $${\frac{tan60\deg - 1}{1- tan30\deg}}$$.

Simplify the expression $$\frac{a^2b^4 - b^2a^4}{ab(a + b)}$$.