# Sulvme!

### Sulvme Mathematics Competition Junior Season 1

1:

What paper type do you have?

A:

Type K

B:

Type A

C:

Type L

D:

Type U

E:

No option

2:

Express 0.000000001

A:

No option

B:

No option

C:

No option

D:

No option

E:

No option

3:

Simplify $\frac{(a^{2} - 1)}{a + 1}$

A:

a + 1

B:

a2 + 1

C:

a2 - 1

D:

a - 1

E:

No option

4:

Simplify $\left ( \frac{16}{9} \right )^{-2}$

A:

$\frac{3}{4}$

B:

$\frac{4}{3}$

C:

$\frac{81}{256}$

D:

$\frac{256}{81}$

E:

No option

5:

Find the H.C.F of 36, 81 and 108

A:

6

B:

9

C:

12

D:

18

E:

No option

6:

Solve 2(6y-5) - 4(2y-7) = -6

A:

8

B:

6

C:

-8

D:

-6

E:

No option

7:

A discount of 15% is allowed on an article. If a customer received #900.00 discount, find the actual amount paid on the article?

A:

#6,000

B:

#6,900

C:

#5,900

D:

#5,100

E:

No option

8:

Solve for x:  $x^{2} - x - 6 = 0$

A:

-2, -3

B:

-3, -2

C:

-1,5

D:

-2,3

E:

No option

9:

. How many lines of symmetry does a kite have?

A:

one

B:

two

C:

three

D:

four

E:

No option

10:

A fair coin is tossed three times, what is the probability of having at least 2 heads?

A:

$\frac{3}{8}$

B:

$\frac{1}{2}$

C:

$\frac{7}{8}$

D:

$\frac{1}{8}$

E:

No option

11:

Express 2999 in Roman numerals?

A:

MMCMXIV

B:

MMCXCIV

C:

MMCMXCIV

D:

MMCCMIV

E:

No option

12:

. Round off to the nearest whole number 610.475

A:

600

B:

601

C:

611

D:

610

E:

No option

13:

Find the square root of 4624

A:

39

B:

64

C:

67

D:

68

E:

No option

14:

Find the median of the following 2,6,9,3,5,4,10,7

A:

5

B:

5.5

C:

6

D:

6.5

E:

No option

15:

A day before yesterday was two days after Monday, what is today?

A:

Friday

B:

Wednesday

C:

Thursday

D:

Sunday

E:

No option

16:

What is the next number in the series: 2,3,5,9,17,33, …

A:

46

B:

49

C:

65

D:

55

E:

No option

17:

Make r the subject of the formula; $v = mg\sqrt{(1 - r^{2})}$

A:

$\pm \sqrt{1 + \left ( \frac{v}{mg} \right )^{2}}$

B:

$\pm \sqrt{1 - \left ( \frac{v}{mg} \right )^{2}}$

C:

$\pm \sqrt{1 - \left ( \frac{v^{2}}{m^{2}g^{2}} \right )^{2}}$

D:

$\pm \sqrt{\left ( \frac{v}{mg} \right )^{2} - 1}$

E:

No option

18:

Simplify $(25)^{-\frac{1}{2}} \times (27)^{\frac{1}{3}}$

A:

$\frac{4}{5}$

B:

$\frac{3}{5}$

C:

$\frac{2}{5}$

D:

$\frac{1}{15}$

E:

No option

19:

Factorize 2t2 + t - 15

A:

(t+3)(2t-5)

B:

(t+5)(2t-3)

C:

(2t+5)(t-3)

D:

None of the above

E:

No option

20:

The mean of the following data: 5,8,6 and k with frequencies 3,2,4 and 1 is 5.7.  Find the value of k?

A:

1

B:

2

C:

3

D:

4

E:

No option

21:

If 55x + 52x = 7710 , Find x?

A:

2

B:

7

C:

5

D:

1

E:

No option

22:

Calculate the simple interest on #7,500 for 8 years at 5% per annum

A:

#3,000

B:

#150

C:

#1,500

D:

#300

E:

No option

23:

The cost of kerosene per liter increases from #60 to #85. What is the percentage rate of increase?

A:

40.76

B:

40.67

C:

41.76

D:

41.67

E:

No option

24:

A cuboid has _____ edges

A:

10

B:

14

C:

12

D:

16

E:

No option

25:

In the parallelogram PQRS below, find the angle SQR ?

A:

1000

B:

800

C:

300

D:

500

E:

No option