Question

1. Suppose a fair coin is tossed twice. Determine the sample space and the probability of getting at least one head.
1 point
(a) ½
(b) ⅔
(c) ¾
(d) ⁴/3
2. If a die is rolled, what is the probability of getting an even number?
1 point
(a) ½
(b) ⅔
(c) ³/2
(d) ⅓
3. Which of the following sets of numbers form Pythagorean triples? (I) 4, 5, 6; (ii) 14, 48, 50; (III) 7, 25, 26.
1 point
(a) i only
(b) ii only
(c) III only
(d) ii & III
4. The diagonals of a rhombus are 6cm and 8cm, respectively. Calculate the perimeter of the rhombus.
1 point
(a) 4 cm
(b) 5 cm
(c) 20 cm
(d) 25 cm
5. A ladder 22.5 m long leans against a vertical wall. The ladder is 7.5 m away from the wall. How far up the wall does the ladder reach? ( Give your answer to 1 d.p).
1 point
(a) 21.2 m
(b) 22.2 m
(c) 31.2 m
(d) 32.2 m
6. A round brass bar is 5m long and 14mm in radius. Calculate its volume in cm³.
1 point
(a) 2080 cm³
(b) 1080 cm³
(c) 4080 cm³
(d) 3080 cm³
7. Calculate the curved surface area of a cylindrical container with diameter 58 cm and height of 86 cm.
1 point
(a) 16000 cm²
(b) 8000 cm²
(c) 32000 cm²
(d) 4000 cm
8. The distance between the opposite corners of a rectangular plot is 30m. The length of the plot is 24m. Calculate the breath of the plot.
1 point
(a) 9m
(b) 18m
(c) 27 m
(d) 36 m
9. A plane flies northwards for 430 km. It then flies eastwards for 380 km. How far is it from its starting point? (Ignore it's height above the ground).
1 point
(a) 774 km
(b) 374 km
(c) 574 km
(d) 810 km
10. A ladder leaning against a vertical wall is 11.28 m high up against the wall. The foot of the ladder is 5m from the wall. Calculate the length of the ladder.
1 point
(a) 12.43 m
(b) 12.34 m
(c) 24.42 m
(d) 24.24 m
11. The value that complete the Pythagorean triples 8, - , 17 is?
1 point
(a) 15
(b) 19
(c) 14
(d) 12
12. Using the table below, calculate the value of F(2B - 3Z).
1 point
Captionless Image
(a) 25
(b) 15
(c) 35
(d) 55
13. Using table in question 12 above, determine the value of B-F.
1 point
(a) 3
(b) 2
(c) 1
(d) -1
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Answer 1

Answer:

1)1/2

2)1/2

3)ii and iii

4)25 cm

5)21.2

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Step-by-step explanation:

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Answer 2

Answer:

if a coin is tossed twice then out come will be HH,HT,TH,TT be the sample space ,now number of favourable outcome that atleat one head are 3 i.e,HT,TH,HH So the required probably of getting at least one head is 3/4