The next 5 questions refer to the table and bar graph below:

A pass in this examination is regarded as a mark of 40 or more.
**How many students in this high school failed to pass this mathematics examination?**

167

279

187

299

**Which of the following mark intervals contains the highest percentage of students who sat this examination?**

30-39

50-59

10-29

90-99

**What percentage of students who got a mark below 30 got a mark below 20?**

23%

45%

55%

32%

The number of students who sat the examination was 466.
**What is true about the median mark obtained by students who sat this examination?**

It lies somewhere from 30 to 39.

It lies somewhere from 50 to 59.

It lies somewhere from 40 to 49.

It lies somewhere from 60 to 69.

**What is the probability that if you randomly picked two students who sat for the examination you would find they both got a mark of 70 or better?**

28/466 x 27/466

28/466 + 27/465

28/466 x 22/466

28/466 x 27/465

**Which is the best simplification of (2 ^{4} x 3^{2}) / (2 x 3)?**

(2^{4} x 3^{2}) / (2 x 3)

(2^{3} x 3) / (2 x 3)

6^{5}

2^{3} x 3

^{4}x 3

^{2}) / (2 x 3)= 2

^{4-1}× 3

^{2-1}.

2

^{4-1}× 3

^{2-1}= 2

^{3}× 3

^{1}

2

^{3}× 3

^{1}= 2

^{3}× 3

**Which of the following is the same as (√3 + √2) ^{2} ?**

5 + 2√6

5

6

5 + 2√5

^{2}= (√3 + √2)( √3 + √2)

(√3 + √2)( (√3 + √2) = √3×√3 + √3×√2 + √2×√3 + √3×√3

√3×√3 + √3×√2 + √2×√3 + √3×√3 = 3 + √6 + √6 + 2

3 + √6 + √6 + 2 = 5 + 2√6

**What is the value of (x ^{2} + x + 3) / (x + 2) when x = -1?**

1

3

5

-1.5

^{2}+ x + 3) / (x + 2) = ( (-1)

^{2}+ (-1) + 3) / ((-1) + 2) when x=-1

( (-1)

^{2}+ (-1) + 3) / ((-1) + 2) = (1 - 1 + 3)/ (-1 + 2)

(1 - 1 + 3)/ (-1 + 2) = 3 / 1 = 3

**Which of the following is the same as 10x ^{2} - 11x + 3?**

(5x + 3)(2x - 1)

(5x - 3)(2x - 1)

(5x + 1)(2x - 3)

(5x - 3)(2x + 1)

^{2}- 11x + 3 = 10x

^{2}- 5x - 6x + 3

10x

^{2}- 5x - 6x + 3 = 5x(2x - 1) - 3(2x - 1)

5x(2x - 1) - 3(2x - 1) = (5x - 3)(2x -1)

**How many ways can 6 people sit on a bench if 3 of them have to sit side by side?**

720

5040

144

24