Free Printable MYE MATHS REVISION Part 4 (S1Accel)

1.

1) Using prime factorization, find

\sqrt{2704}

.

a)

$\sqrt{2^4\times13^2}\ =\ 2^2\times13=52$

b)

$\sqrt{2^2\times13}\ =\ 2^2\times13=52$

c)

$\sqrt{2^2\times13^4}\ =\ 2\times13^2=52$

d)

$\sqrt{2^4\times13^2}\ =\ 2^4\times13^{ }=52$

2.

2) Evaluate

\frac{2550^3\times\left[-43-\left(-43\right)\right]}{12^2-\sqrt{144}}

a)

0

b)

19.3

c)

14.7

d)

16.8

3.

3) The angles that measure (9𝑚)° and (18𝑝)° are supplementary. Find the value of (𝑚 + 2𝑝)°.

a)

5

b)

10

c)

20

d)

15

4.

4) In the diagram, the straight line LO is parallel to the straight line PQ. ΔYXZ is a right-angled triangle, ∠𝑋𝑌𝑍=47° and ∠𝑋𝑌𝑄=41°. Find the values of the angles c and d.

a)

$c=88\degree\ \ \ \ and\ \ \ \ \ d=313\degree$

b)

$c=317\degree\ \ \ \ and\ \ \ \ \ d=92\degree$

c)

$c=92\degree\ \ \ \ and\ \ \ \ \ d=317\degree$

d)

$c=91\degree\ \ \ \ and\ \ \ \ \ d=319\degree$

5.

5) A car has a constant speed of x km/h.

The distance travelled by the car is 28 km in 18 minutes 40 seconds. Find the value of x.

a)

92.5 km

b)

70 km

c)

93.3 km

d)

90 km

6.

6) In the diagram below, CDEG is a parallelogram.

Given that ∠𝐶𝐺𝐹=58°, ∠𝐶𝐹𝐸=𝑥°,

∠𝐹𝐸𝐷=(𝑥+13)° and ∠𝐹𝐶𝐺=𝑦°.

Find the values of x° and of y°.

a)

$x=109\degree\ \ \ \ \ and\ \ \ \ \ \ \ y=51\degree$

b)

$x=51\degree\ \ \ \ \ and\ \ \ \ \ \ \ y=109\degree$

c)

$x=107\degree\ \ \ \ \ and\ \ \ \ \ \ \ y=58\degree$

d)

$x=58\degree\ \ \ \ \ and\ \ \ \ \ \ \ y=107\degree$

7.

7) On a year-end sale, Suzy and Marie bought the same designer bag marked at $365. Suzy bought hers on the first day of the sale and got a discount of 15%. However, Marie got a further discount of 20% on the original discounted price because she bought hers on the last day of the sale. Calculate the difference between the marked price and the price that Marie paid for the designer bag, expressing your answer in 2 decimal places.

a)

$310.25

b)

$248.20

c)

$116.80

d)

$62.05

8.

8) Callista, Kyra and Rae run around an oval track. They took $\frac{4}{15}$ hours, 0.3 hours and x min to complete one lap, respectively. Suppose they started to run at the same time, same starting lane and same direction. If they all meet at the starting point again after 2 hours and 24 minutes ,
(i) find the time, in x minutes, in which Rae completed one lap, such that 9 < x < 15.

a)

12

b)

10

c)

14

d)

13

9.

9) Solve the equation

2(4𝑑 – 1) – 6(𝑑 +7) = −29

a)

$d=-36.5$

b)

$d=36.5$

c)

$d=-7.5$

d)

$d=7.5$

10.

10) In 2018, the value of a house is $x.

In 2019, the value of the house depreciates by 18%.

If the value of the house in 2019

is $37 392, calculate the value of the house in 2018.

a)

$31 688.14

b)

$45 600

c)

$30 661.44

d)

$44 122.56

MYE MATHS REVISION Part 4 (S1Accel)

Total questions: 10

Worksheet time: 3hrs 30mins

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