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Question 1 : Simplify √27 * √50 ∕ √54
 17
 6
 7
 5
Question 2 : Simplify and solve for x, given (0.125)x+1 = 1∕64
 1
 4
 2
 3
Question 3 : Which of the these is an imaginary
 3⅖
 √-4
 25
 √9
Question 4 : The ratio by weight (kg) of zinc, tin and copper are 4:3:3, if the work requires 640kg alloy, what is the required kg for zinc
 75kg
 257kg
 255kg
 256kg
Question 5 : Factor the polynomial 4x²+20x+3xy+15y
 (4x+3y)²(x-5)
 (4x+3y)(x+5)
 (4x-3y)(x+5)
 (x-5)(4x+3y)
Question 6 : Make x the subject of the formula L= xh∕ a(x+p)
 x=h -ap∕a+p
 h = apx∕ Lax
 xh = ap ∕ La
 x= ap ∕ h - La
Question 7 : convert ratio 4:5 to percentage
 0.45
 0.355
 0.8
 0.42
Question 8 : (7⅗ of 17∕ 19) ∕ 15∕25
 2∕33
 ⅓
 9 7∕9
 11⅓
Question 9 : Express 5hrs as a ratio of 1week and 2days
 6∕17
 5∕200
 8∕9
 5∕216
Question 10 : simplify 3½ - 2 7/12
 9∕10
 10∕12
 11∕12
 1 1∕12
Question 11 : An imaginary number is a number that has
 positive square
 Positive square root
 negative square root
 negative square
Question 12 : The LCM of 14a²b²,7ab and 28ab² is
 28ab
 56b²a²
 28ab²
 28a²b²
Question 13 : Simplify 1⅓ + (2∕4 of 12∕ 16) - ⅚
 7∕8
 21∕38
 7∕12
 5∕9
Question 14 : Simplify without using table log₅12.5 + log₅2
 2
 4
 1
 3
Question 15 : It took 7men 35hours to build a house. How much time will it take 12 men working at the same rate to finish the house.
 38hrs 44mins
 28hrs 3mins
 20hrs 42mins
 27hrs 48mins
Question 16 : Given that factor over head is ⅖, prime cost is ⅕. Calculate the fraction of the total spent on other items.
 ⅖
 4∕7
 ⅗
 ⅚
Question 17 : For selling an item for N850 a trader made a profit of 15%. What should be selling price be to make a profit of 20%.
 850
 705
 887
 739
Question 18 : An improper fraction is classified as
 3⅓
 ⅓
 ⅗
 3∕2
Question 19 : 1 6∕9 of ⅔ - 3⅕ + 2½ ∕ ½
 3⅜
 17½
 4⅕
 2 41∕45
Question 20 : Express the fraction in the lowest possible equivalent 16x⁵y⁴ * 48xy∕ 32xy* 24x3y2
 2xy
 x²y
 x²y³
 ½x²y³

 Jun 4, 2017
edited by iddaniella  Jun 4, 2017
 #1
avatar+7372 
+1

Wow that's way too much. But I will do it because it is math and math is awesome :D

1) √27 * √50 ∕ √54 = 3√3 * 5√2 / 3√6 = 5

2) Hey are you kidding me the solution is fractional.

3) √-4 is imaginary

4) Weight required = \(640\times \dfrac{4}{4+3+3}=\mathbf{256kg}\)

5) 4x²+20x+3xy+15y = 4x(x + 5) + 3y(x + 5) = (4x + 3y)(x + 5)

6) 

\(L = \dfrac{xh}{a(x+p)}\\ Lx + Lp = x\cdot(\dfrac{h}{a})\\ x(L-\dfrac{h}{a})=-Lp\\ x = \dfrac{-Lp}{L-\frac{h}{a}}=\mathbf{\dfrac{Lp}{h - aL}}\)

7) \(4:5 = \dfrac{4}{5}=0.8\)

8) 

\(7\dfrac{3}{5}\times \dfrac{17}{19}\div\dfrac{15}{25}\\ =\dfrac{38}{5}\times \dfrac{17}{19}\times \dfrac{5}{3}\\ =\dfrac{34}{3}\\ =\mathbf{11\dfrac{1}{3}}\)

9) 5hrs/1 week and 2 days = 5hrs/9 days = 5hrs/216hrs = 5 : 216.

10) 3 1/2 - 2 7/12 = 3 6/12 - 2 7/12 = 11/12.

11) Negative square. <--- That's the definition.

12) LCM(14a²b²,7ab, 28ab²) = 28a²b².

13) 

 \(1\dfrac{1}{3}+\dfrac{2}{4}\times \dfrac{12}{16}-\dfrac{5}{6}\\ =\dfrac{4}{3}+\dfrac{1}{2}\times \dfrac{3}{4}-\dfrac{5}{6}\\ =\dfrac{4}{3}+\dfrac{3}{8}-\dfrac{5}{6}\\ =\dfrac{32}{24}+\dfrac{9}{24}-\dfrac{20}{24}\\ =\mathbf{\dfrac{7}{8}}\)

14)

 \(\log_512.5-\log_52\\ =\log_5\dfrac{12.5}{2}\\ =\log_56.25\\ =\log_5\dfrac{25}{4}\\ =\log_525-\log_54\\ =\mathbf{2 - 2\log_52}\)

 

15) Working efficiency of each man = 245 hours per house per person.

Working efficiency of 12 men =245/12 hours per house = 20 hours 25 min. No answer like that....

16) required fraction = 1 - 1/5 - 2/5 = 2/5.

17) Selling price = 850 / (1 + 15%) * (1 + 20%) = 850 * 1.2 / 1.15 = 887 approximately.

18) 3/2

19) \(1\dfrac{6}{9}\times \dfrac{2}{3}-3\dfrac{1}{5}+2\dfrac{1}{2}\div\dfrac{1}{2}\\ =\dfrac{5}{3}\times \dfrac{2}{3}-\dfrac{16}{5}+5\\ =\dfrac{10}{9}-\dfrac{16}{5}+5\\ =\dfrac{50}{45}-\dfrac{144}{45}+\dfrac{225}{45}\\ =\dfrac{131}{45}\)

which is 2 41/45.

20) 16x⁵y⁴ * 48xy∕ 32xy* 24x3y2 = 576x8y6.

 Jun 4, 2017

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