What is the product of 2x2 โ x + 1 and 3 โ 2x
- A. 4x3 โ 8x2 + 5x + 3
- B. โ4x3 + 8x2 โ 5x + 3
- C. โ4x3 โ 8x2 + 5x + 3
- D. 4x3 + 8x2 โ 5x + 3
Evaluate 1 โ (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))
- A. 4
- B. 3
- C. \(\frac{22}{3}\)
- D. 3\(\frac{2}{3}\)
Find the range of the following set of numbers 0.4, โ0.4, 0.3, 0.47, โ0.53, 0.2 and โ0.2
- A. 1.03
- B. 0.07
- C. 0.03
- D. 1.0
If ฮฑ and ฮฒ are the roots of the equation 3×2 + 5x – 2 = 0, find the value of 1/ฮฑ + 1/ฮฒ
- A. \(\frac{-5}{3}\)
- B. \(\frac{-2}{3}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{5}{2}\)
If \(\frac{2 \sqrt{3} – \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\) = m + n โ 6,
find the values of m and n respectively
- A. 1, โ 2
- B. โ 2, n = 1
- C. \(\frac{-2}{5}\), 1
- D. \(\frac{2}{3}\)
Simplify (3โ64a3)\(^{โ1}\)
- A. 4a
- B. \(\frac{1}{8a}\)
- C. 8a
- D. \(\frac{1}{4a}\)
Find the gradient of the line joining the points (3, 2) and (1, 4)
- A. 3/2
- B. 2/1
- C. -1
- D. 3/2
The operation * on the set R of real number is defined by x * y = 3x + 2y โ 1, find 3* โ 1
- A. 9
- B. - 9
- C. 6
- D. - 6
Make S the subject of the relation
p = s + \(\frac{sm^2}{nr}\)
- A. s = \(\frac{nrp}{nr + m^2}\)
- B. s = nr + \(\frac{m^2}{mrp}\)
- C. s = \(\frac{nrp}{mr}\) + m2
- D. s = \(\frac{nrp}{nr}\) + m2
Factorize completely X2+2XY+Y2+3X+3Y-18
- A. (x + y + 6)(x + y -3)
- B. (x - y - 6)(x - y + 3)
- C. (x - y + 6)(x - y - 3)
- D. (x + y - 6)(x + y + 3)
In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140ยฐ, find, to the nearest cm, the length of the chord MN.
- A. 10cm
- B. 19cm
- C. 17cm
- D. 12cm
Find โซ(x2 + 3x โ 5)dx
- A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
- B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
- C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
- D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)
- A. 2x + 2y = 9
- B. 2x + 3y = 8
- C. 2x + y = 9
- D. x + 2y = 8
y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation
- A. 47
- B. 42
- C. 54
- D. 46
In how many ways can the word MACICITA be arranged?
- A. \(\frac{8!}{2!}\)
- B. \(\frac{8!}{3! 2!}\)
- C. \(\frac{8!}{2! 2! 2!}\)
- D. 8!
In how many ways can the word MATHEMATICS be arranged?
- A. \(\frac{11!}{9!2!}\)
- B. \(\frac{11!}{9!2!2!}\)
- C. \(\frac{11!}{2!2!2!}\)
- D. \(\frac{11!}{2!2!}\)
The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is โฆ 80 000. Find the amount allocated to fertilizer
- A. โฆ 35, 000
- B. โฆ 40,000
- C. โฆ 25,000
- D. โฆ 20,000
Find the principal which amounts to โฆ 5,500 at a simple interest in 5 years at 2% per annum
- A. โฆ 4,900
- B. โฆ 5,000
- C. โฆ 4,700
- D. โฆ 4,000
If a rod 10cm in length was measured as 10.5cm, calculate the percentage error
- A. 5%
- B. 10%
- C. 8%
- D. 7%
Evaluate \(\frac{0.00000231}{0.007}\) and leave the answer in standard form
- A. 3.3 x 10-4
- B. 3.3 x 10-3
- C. 3.3 x 10-5
- D. 3.3 x 10-8
Find the number of ways that the letters of the word EXCELLENCE be arranged
- A. \(\frac{10!}{2!2!2!}\)
- B. \(\frac{10!}{4!2!}\)
- C. \(\frac{10!}{4!2!2!}\)
- D. \(\frac{10!}{2!2!}\)