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Mathematics 2019 WAEC Past Questions

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71

The data shows the marks obtained by students in a biology test

52 56 25 56 68 73 66 64 56 48
20 39 9 50 46 54 54 40 50 96
36 44 18 97 65 21 60 44 54 32
92 49 37 94 72 88 89 35 59 34
15 88 53 16 84 52 72 46 60 42

(a) Construct a frequency distribution table  using the class interval 0 - 9, 10 - 19, 19, 20, 29... 

(b) Draw a cumulative frequency curve for the distribution 

(c) Use the graph to estimate the;

(i) median

(ii) Percentage of students who scored at least 66 marks, correct to the nearest whole number.

 

 

View Answer & Discuss (3) WAEC 2019
72

(a) Solve the inequality \(\frac{1}{3}x - \frac{1}{4} (x + 2) \geq 3x - 1\frac{1}{3}\)

 

(b)

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In the diagram, ABC is right-angled triangle on a horizontal ground. |AD| is a vertical tower. < BAC = 90\(^o\), < ACB = 35\(^o\), < ABD = 52\(^o\) and |BC| = 66cm.

Find, correct to two decimal places:

(I) the height of the tower 

(ii) the angle of elevation of the top of the tower from C

 

View Answer & Discuss (1) WAEC 2019
73

(a) Copy and complete the table of values for y = 2 cos x + 3 sin x for 0\(^o\) \(\geq\) x  \(\geq\) 360\(^o\) 

x 0\(^o\) 60\(^0\) 120\(^o\) 180\(^o\) 240\(^o\) 300\(^o\) 360\(^o\)
y 2.0       - 3.6    

 

(b) Using a scale of 2cm to 60\(^o\) on the x-axis and 2cm to 1 unit in the y-axis, draw the graph of y = 2 cos x + 3 sin x for 0\(^o\) \(\geq\) 360\(^o\) 

 

(c) Using the graph, 

(i) Solve 2 cos x + 3 sin x = -1

(ii) Find, correct to one decimal place, the value of y when x = 342\(^o\)

 

View Answer & Discuss WAEC 2019
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74

 A woman bought 130 kg of tomatoes for 52,000.00. She sold half of the tomatoes at a profit of 30%. The rest of the tomatoes began to go bad, she then reduced the selling price per kg by 12%. Calculate:

(a) the new selling price per kg;

(ii) the percentage profit on the entire sales if she threw away 5 kg of bad tomatoes.

View Answer & Discuss (1) WAEC 2019
75

(a) The third and sixth terms of a Geometric Progression (G.P) are and \(\frac{1}{4}\) and \(\frac{1}{32}\) respectively.

Find:

(i) the first term and the common ratio;

(ii) the seventh term.

(b) Given that 2 and -3 are the roots of the equation ax\(^2\) ± bx + c = 0, find the values of a, b and c. 

View Answer & Discuss WAEC 2019
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