Mathematics Set 2 (Q&A)

b

(x - 3) (x + 5) =? a. x² + 2x b. x² + 2x + 15 c. x² - 15 d. x² + 15

d

2y = 5x + 3 what is the gradient? a. 5/3 b. 3/4 c. 1/3 d. 5/2

a

A car travels 24 miles in 45 minutes. What is the average speed? a. 32 mph b. 36 mph c. 18 mph d. 12 mph

a

A quadratic equation has the real roots x = 6 and x = 9. Determine the equation which is satisfied by these roots. a. x² - 15x + 54 = 0 b. x² - 15x - 54 = 0 c. x² + 15x + 54 = 0 d. x² + 15x + 54 = 0

c

A quadrilateral with ONLY two parallel sides is a? a. trapezium b. rhombus c. trapezoid d. rectangle

c

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? a. 0.75 b. 0.70 c. 0.6 d. 0.5

c

A shape with 4 equal sides and one 90° angle is a? a. parallelogram b. rhombus c. square d. trapezoid

d

Albert is putting a stairway in her house. If she wants the stairway to make an angle of 20 degrees to the ceiling, what obtuse angle should the stairway make to the floor? a. 30 b. 60 c. 110 d. 160

b

An Equilateral triangle has a. 2 sides equal b. 3 sides equal c. no equal sides d. 2 equal angle

c

An engine of 96 horsepower is running at 75% power. What horsepower is being developed? a. 168 b. 68 c. 72 d. 98

a

An isosceles triangle has the following properties? a. 2 side same length b. 3 sides same length c. 2 sides parallel d. no sides equal

a

Dave can wash and wax a car in 4 hours. Mark can do the same job in 3 hours. If both work together how long will it take to wash and wax the car? a. 1.7 b. 2.3 c. 3 d. 3.3

a

Factorise the following: x² - x - 6 = 0. a. (x + 2)(x - 3) b. (x - 2)(x - 3) c. (x + 2)(x + 3) d. (x + 3)(x - 2)

a

Find the curved surface area of a cylinder diameter 20 cm and length 10 cm. a. 1256 cm² b. 2512 cm² c. 900 cm² d. 400 cm²

b

Find the square root of 1600. a. 20 b. 40 c. 400 d. 24

c

Find the sum of the coefficients in the expansion of (5x - 4)⁵ a. 8 b. 16 c. 32 d. 64

a

How many times does the x-axis get crossed when y = x² - 3? a. 1 b. 2 c. 3 d. 4

d

If 2x - 8y = 14 and 4x + 8y = 16; then x =? a. 1 b. 3 c. 7 d. 5

c

If nine candles are blown out on a birthday cake containing seven times as many candles altogether, how many candles are there in all? a. 2 b. 16 c. 63 d. 72

c

If we integrate ex twice the answer would be a. ln(x) b. 0 c. eˣ d. 1

c

If x + y = 1 and x² + y² = 2. Find x⁴ + y⁴ a. 1/5 b. 5/4 c. 7/2 d. 3/2

a

In a flight control system, the control cable is allowed an elongation of 3% due to wear. The length from the manufacturer is 78 cm, what is its maximum used length? a. 80.34 cm b. 78.34 cm c. 2.34 cm d. 79 cm

b

In the following equation what is the y-intercept? 4y = 2x + 8? a. 1 b. 2 c. 4 d. 8

c

It is the ratio c/a is also known as? a. directrix b. asymptote c. eccentricity d. focus

b

Jason is six times as old as Kate. In two years, Jason will be twice as old as Kate is then. How old is Jason now? a. 6 months old b. 3 years old c. 6 years old d. 9 years old

a

Jeff was 10 minutes early for class. Dee came in four minutes after Mae, who was half as early as Jeff. How many minutes early was Dee? a. 1 b. 2 c. 3 d. 5

d

Lara is standing next to a tree with a shadow of 40 feet. If Lara is 5.5 feet tall with a shadow of 10 feet, what is the height of the tree? a. 10 feet b. 11 feet c. 20 feet d. 22 feet

d

Milibar is a unit of? a. Temperature b. work c. volume d. pressure

a

On a right angle triangle, the longest side is 20 cm and the shortest is 12 cm. What is the other side? a. 16 cm b. 12 cm c. 14 cm d. 10 cm

d

Pikachu can type the whole document in 3 hrs. On the other hand, James, being new to the job can type the same document in 5 hours. If they work together, how long can they finish 2 documents? a. 2.75 hours b. 3 hours c. 3.5 hours d. 3.75 hours

a

Simplify 3a - 2b + 6a - 3b - 2a. a. 7a - 5b b. 7a - 3b c. 5a - 2b d. 7a - 2b

c

Solve for x in the equation 3 ln(x) = 8 a. ln 8/3 b. 8/3 c. e⁸/³ d. 3ln8

d

Solve the following equation: 5x = 3x + 2. a. 4 b. 3 c. 2 d. 1

c

Solve the following equations for x: 4x + 8y = 64 & 2x - 8y = 86. a. 125 b. 5 c. 25 d. 15

c

The derivative of sin(3x) is? a. -cos(3x) b. cos(3x) c. 3cos(3x) d. 3cos(x)

d

The equation y = -3x² + 1 is a parabola pointing to the? a. left b. right c. up d. down

d

The graph points (9, 3) and (3, 1) what is the slope? a. 1/2 b. 1/4 c. 1/5 d. 1/3

c

The line with equation x = 3 is? a. parallel to x axis b. intersects at y = 3 c. parallel to y axis d. slope = 1

a

The next term in the progression 2, 8, 32, 128 is... a. 512 b. 256 c. 864 d. 224

b

The sum of the infinite geometric progression is 3 and the common ratio is 1/3. What is the first term? a. 3 b. 2 c. 1 d. -1

c

The three angles of a triangle summed together are equal to: a. 360 b. 90 c. 180 d. 270

b

Three apples and twice as many oranges add up to one-half the number of cherries in a fruit basket. How many cherries are there? a. 11 b. 18 c. 21 d. 24

c

To find the area of a circle use the formula. a. πd b. 2πr c. πr² d. πd²

b

Two lines with equations y = 3x - 6 and y = 3x + 4? a. meet when y = 3 b. are parallel c. are perpendicular d. meet at x =3

c

Two ships leave from a port. Ship A sails west for 300 miles, and Ship B sails north for 400 miles. How far apart are the ships after their trips? a. 300 miles b. 400 miles c. 500 miles d. 600 miles

a

What is the Lowest Common Multiple of 5; 12; 20. a. 60 b. 120 c. 5 d. 15

c

What is the area of a rectangle when its height is 11 cm and the width 120 cm? a. 1320 m² b. 1.320 m² c. 0.132 m² d. 122 m²

d

What size of angle has the same ratio for both the sine and the cosine? a. 0 b. 60 c. 30 d. 45

b

What type of equation is this? ax² + bx + c = 0? a. POLYNOMIAL b. Quadratic c. monomial d. factorial

c

White flour and whole wheat flour are mixed together in a ratio of 5 parts white flour to 1-part whole wheat flour. How many pounds of white flour are in 48 pounds of this mixture? a. 8 b. 9.6 c. 40 d. 42