1. Mathematics - Q&A

4 3/8 - 2 1/4 + 1/5 =

• 2 1/4
• 2 13/40
• 3 3/10

A pilot needs to find the distance across a river. From point A, the angle to point B across the river is 40 degrees, and AB along the bank is 50 m. Find the river width:

• 38.30 m, because width = 50 x cos(40) = 50 x 0.766 = 38.30 m, using cosine gives the adjacent side not the opposite
• 32.14 m, because width = 50 x sin(40) = 50 x 0.6428 = 32.14 m, taking the sine of the angle for the width across
• 41.95 m, because width = 50 x tan(40) = 50 x 0.839 = 41.95 m, using tangent with the adjacent bank distance of 50 m

(6 - 2) - (6 - 9) / (-3 + (-3))

• 3 1/2.
• 4.
• 4 1/2.

What is 10! / 8!?

• 1.25, because 10/8 = 1.25, dividing the arguments of the factorials gives 1.25 which is not how factorial division works
• 2, because 10 - 8 = 2, subtracting the factorial arguments gives the difference but not the ratio of factorials here
• 90, because 10!/8! = 10 x 9 = 90, the remaining factors after cancellation are 10 and 9 which multiply to 90

What is the area of the trapezium shown?

• 24 cm^2
• 27 cm^2
• Area cannot be calculated from information given.

Find the curved surface area of a cylinder diameter 20cm and length 10cm.

• 200 cm^2
• 628 cm^2
• 400 cm^2

What is the ratio of 5 feet to 30 inches?

• 1 : 6
• 5 : 3
• 2 : 1

A right angled triangle has sides 6cm, 8cm and 10 cm. What is the sine of the angle between the 8cm side and the 10 cm side?

• 0.6
• 0.75
• 0.8

In a flight control system, the control cable is allowed an elongation of 3% due to wear. The length from the manufacturer is 78cm, what is its maximum used length?

• 2.34 cm
• 78.34 cm
• 80.34 cm

What is 738 in binary coded decimal?

• 1011110010
• 111100010
• 11100111000

The surface area of a cone whose height is 10 cm and diameter is 8 cm is

• 40pi cm2 .
• 80pi cm2.
• 120pi cm2 .

If you bought a second hand car worth 4500 british pounds after getting 15% discount. How much did the car cost originally?

• 3800 british pounds
• 5300 british pounds
• 6000 british pounds

If you bought a TV set worth 30 british pounds after getting 15% discount. How much discount did you get?

• 5 british pounds
• 15 british pounds
• 35 british pounds

15.4/2 - 2*(6.2 - 15.6)

• -11.1.
• 11.1.
• 26.5.

The characteristic of Log 0.698 is

• -2.
• -1.
• 1.

24/0 (twenty four divided by nothing) is

• nothing.
• infinity.
• 24.

A quadratic equation has the real roots x=6 and x=9. Determine the equation which is satisfied by these roots.

• x^2 -54x+15=0
• x^2 -15x+54=0
• x^2 +15x-15=0

One of the square roots of a positive number is positive. What is the other one?

• positive
• negative
• positive or negative.

If x in an equation equals Ly + 7cb, define the formula for finding the subject y.

• x-7cb/L
• x+7cb/L
• x-L/7cb

What is the equation of the line shown?

• y = 2x + 2
• y = -2-x
• y = x-2

Simplify (a+b)(a-c)(b-c) divided by (b+a)(c-a)(c-b).

• -1
• 1
• (a+b)(a-c)(b-c)

What is the area of the trapezium shown?

• 24 cm^2
• 27 cm^2
• Area cannot be calculated from information given.

What is 738 in binary coded decimal?

• 1011110010
• 111100010
• 11100111000

Find L in the following expression:

• L = Q^2 * C / R^2
• L = Q^2 * C^2 / R
• L = Q^2 * R^2 * C

Make m the subject of the formula in y=mx+c.

• m=y-x/c
• m=(y-c)/x
• m=y+c/x