Free Printable Quiz 7 - Mock 3

1.

The volume of a cube is 125 cm³. The side of the cube is increased by 50%.

a) What is the new volume of the cube?

b) By whatpercentagehas the volume increased?

a)

a) 421.875 cm³

b) 237.5%

b)

a) 15.625 cm³

b) 150%

c)

a) 187.5 cm³

b) 125%

d)

a) 516.256 cm³

b) 138.5%

2.

Aircraft X departs London for Paris at 09:00, maintaining a ground speed of 420 knots. Aircraft Y departs Paris for London on the same route at 11:00, maintaining a ground speed of 360 knots. The distance between London and Paris is 1,050 NM. Question: At what distance from London will the two aircraft meet? Give your answer to the nearest whole number.

a)

953NM

b)

720NM

c)

840NM

d)

817NM

3.

A Boeing 787 consumes 5 L / 100 km per passenger. It flew from New York to London covering a distance of 5,550 km with 280 passengers onboard. If the total mass of the fuel burned was 42,000 kg, what is the density of the fuel?

a)

0.54 kg/L

b)

0.76 kg/L

c)

0.98 kg/L

d)

1.36 kg/L

4.

Solve:

$\frac{1}{2}(4y−6)+\frac{3}{2}(3y+9)\ −\ \frac{5}{4}=20$

a)

$y\ =1\ \frac{17}{26}$

b)

$y\ =\ 5\ \frac{3}{5}$

c)

$y\ =\ 2\ \frac{1}{7}$

d)

$y\ =\ -2\ \frac{9}{11}$

5.

An aircraft is maintaining 41,000 ft and is requested to descend to 15,500 ft in 3 minutes 30 seconds.

a) Calculate the required rate of descent in feet per minute (fpm). Give your answer to the nearest whole number.
b) Convert the rate of descent into meters per second (m/s).
c) If the aircraft instead descends at a constant vertical speed of 5 m/s, how long will it take to reach 15,500 ft from 41,000 ft? Give your answer to the nearest min.

a)

a) 7,286ft/min

b) 37m/s

c) 26mins

b)

a) 10,718ft/min

b) 31m/s

c) 16mins

c)

a) 12,792ft/min

b) 35m/s

c) 22mins

d)

a) 718ft/min

b) 42m/s

c) 34mins

6.

An aircraft burns X L/50 km per passenger. It flew from London to Berlin, covering a distance of 930 km. The number of passengers onboard was 180. If the density of the fuel is 0.80 kg/L, and the mass of fuel used was 10,368 kg, calculate the value of X.

a)

3.87

b)

7.74

c)

2.97

d)

5.14

7.

Evaluate:

$\frac{2}{5}\div\frac{4}{7}\times(8+10\times4-3)+\left[\frac{3}{8}\div\frac{5}{16}-\left\{\frac{4}{7}+\frac{9}{14}\right\}\right]$

a)

$\frac{1102}{35}$

b)

$\frac{1102}{35}$

c)

$\frac{1107}{35}$

d)

$\frac{1109}{35}$

8.

A company bought a 5-year-old machine for 12,300 AED. The machine depreciates by 20% in the first year, 15% in the second year, 12% in the third year, 10% in the fourth year, and 8% in the fifth year. What was the original price of the machine when it was brand new?

a)

24,820AED

b)

24824.65AED

c)

25162.51AED

d)

26192AED

9.

Find the prime factors of 635284.

a)

$2^2\times13\times12217$

b)

$2\times3\times7263$

c)

$3\times5^2\times7\times13$

d)

$6^5\times8$

10.

A laptop was sold for AED 6,250. Its value has increased by 25% over the past few years. What was the original price of the laptop?

a)

5000AED

b)

7500AED

c)

4687.5AED

d)

6100AED

11.

Expand and Simplify:

$(2x−5y)(2x+5y)(x+3)$

a)

$4x^3+12x^2-25xy^2-75y^2$

b)

$x^3+216x^2-480xy^2-59y^2$

c)

$5x^3+27x^2-252xy^2-540y^2$

d)

$x^3+19x^2-25xy^2-58y^2$

12.

312.5 is 125% of what number?

a)

300

b)

200

c)

250

d)

400

13.

Ali and Zainab shared a sum of money in the ratio 5 : 7. Zainab then gave 10% of her share to Ali, and Ali also received an additional 200 AED as a competition prize. After these changes, the ratio of Ali’s money to Zainab’s became 3 : 2. What was the original total amount of money they had together?

a)

640AED

b)

610AED

c)

580AED

d)

670AED

14.

At an altitude of 36,000 ft, the ambient temperature is –47°C. What is the ISA temperature deviation?

a)

1°C

b)

–10°C

c)

10°C

d)

–11°C

15.

The length of a rectangle is 12.5 m and the width is 1,250 cm. Find the area of the rectangle in square kilometers.

a)

$1.5625\times10^{-4}\ km^2$

b)

$1.5625\times10^{-3}\ km^2$

c)

$1.5625\times10^5\ km^2$

d)

$1.0625\times10^{-5}\ km^2$

Quiz 7 - Mock 3 - MA

Total questions: 15

Worksheet time: 8mins

Similar Resources on Wayground