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Mathematics WAEC / WASSCE 2019 Number and Numeration
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.
medium Difficulty
Mathematics WAEC / WASSCE 2019 Algebra
(a) Solve the inequality \(\frac{1}{3}x - \frac{1}{4} (x + 2) \geq 3x - 1\frac{1}{3}\) (b) 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
medium Difficulty
Mathematics WAEC / WASSCE 2019 Geometry and Trigonometry
(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\(^o\)
medium Difficulty
Mathematics WAEC / WASSCE 2019 Number and Numeration
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.
medium Difficulty
Mathematics WAEC / WASSCE 2019 Number and Numeration
(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\(^2\) \pm bx + c = 0, find the values of a, b and c.
medium Difficulty
Mathematics WAEC / WASSCE 2019 Number and Numeration
(a) Given that sin y = \(\frac{8}{17}\) find the value of \(\frac{tan y}{1 + 2 tan y}\) (b) An amount of N300,000.00 was shared among Otobo, Ada and Adeola. Otobo received N60,000.00, Ada received \(\frac{5}{10}\) of the remainder, while the rest went to Adeola. In what ratio was the money shared?
medium Difficulty
Mathematics WAEC / WASSCE 2019 Geometry and Trigonometry
In the diagram, \(\overline{RT}\) and \(\overline{RT}\) are tangent to the circle with centre O. < TUS = 68 ^\circ, < SRT = x, and < UTO = y. Find the value of x. (b) Two tanks A and B am filled to capacity with diesel. Tank A holds 600 litres of diesel more than tank B. If 100 litres of diesel was pumped out of each tank, tank A would then contain 3 times as much diesel as tank B. Find the capacity of each tank.
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
Study Specimens Y, amd Q and answer questions 4(a) to 4(e). (a)(i) State the sex of specimen P. (ii) Give one reason tor the answer in 4(a). (b)(i) Name the habitats of each of specimens P and Q (ii) State three adaptations each of specimens P and Q to their habitats. (c)(i) State one observable structural differences between specimens (ii) State three observable structural similarities between P and Q. (d)(i) Observe the mouthpart of specimen Q and state its feeding mechanism. (ii) List one food which specimen Q feeds on. (e) Remove carefully one of the legs on the right side of the metathorax of specimen P. Make a drawing, 6 cm to 8 cm long of the removed leg and label fully.
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
a. State five : (i) challenges that make conservation of resources difficult; [5 marks] (ii) ways by which the Government of a country ensures conservation of natural resources. [5 marks] b. What is an endangered species? [3 marks] c. A child with blood group O was born to a mother of blood group A. (i) What is the blood group genotype of the child? [1 marks] (ii) What are the possible blood group genotypes of the father? [3 marks] d. State three reasons why genetic variation is important to plants. [3 marks]
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
A homozygous tall, red flower plant was crossed with a homozygous dwarf, white flower plant. The F1 were selfed and 160 F2 plants were obtained. a.(i) Name the type of genetic cross. [1 marks] (ii) State one reason for the answer in 4(a)(i). [1 marks] b.(i) What is evolution? [2 marks] (ii) With the aid of a genetic diagram, state the phenotypic ratio of F2 generation. [13 marks] (iii) Calculate the number of tall and white flowers that would be obtained in the F2 generation. [3 marks]
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
a. (i) Complete the table below with the respiratory surface of each of the listed organisms. organism respiratory surface Tadpole (2days old) Cockroach Domestic fowl Talinum Earth Worm Amoeba (ii) State five characteristic features of respiratory surfaces in organisms. [5 marks] b. Make a drawing, 4 cm – 6 cm long of the respiratory organ in Tilapia and label fully. [9 marks]
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
b. List five parts of the alimentary canal of an earthworm. [5 marks] c. State six ways by which water could be polluted by agricultural. [6 marks] d. Describe briefly the life cycle of a housefly. [5 marks] e. Make a diagram, 6 cm – 8 cm long of the hypogeal germination in a mature maize seedling and label fully. [8 marks]
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
a. Name five vertebrae in mammals with their corresponding locations. [10 marks] b. State one function each of the following parts in a dicotyledonous leaf: (i) palisade; (ii) vascular bundle; (iii) epidermis. [3 marks] c. State one function each of the following parts in the stem of a flowering plant: (i) sieve tube; (ii) cortex; (iii) pith. d. In a tabular form, state: (i) two external structural differences between the stem and root of a maize seeding. [2 marks] (ii) two internal structural differences between the stem and root of a maize seeding. [2 marks]
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
a. State three features of the small intestine that increase the rate of absorption of digested food. [3 marks] b. Explain briefly what happens to the glucose formed in a plant during photosynthesis. [3 marks] c. Explain briefly the mode of feeding in each of the following organisms: (i) Euglena; [4 marks] (ii) Spirogyra. [4 marks] d. State three characteristics of an Estuarine habitat. [3 marks] e. State three differences between an aquatic habitat and a terrestrial habitat. [3 marks]
medium Difficulty
Biology WAEC / WASSCE 2019 Science of Living Things
The table below shows the percentage composition of fat and protein in six different meat types. Study it and answer questions 2(a) to 2(d). Meat Type Fat (%) Protein (%) A 07.2 21.3 B 25.3 10.6 C 20.0 22.5 D 03.1 28.2 E 12.6 17.3 F 13.2 14.3 a. (i) Which two of the meat types may be recommended for an obese patient? [2 marks] (ii) State one reason for the answer in 2(a)(i). [1 mark] b. (i) Which two of the meat types would provide the most energy? [2 marks] (ii) State two reasons for the answer in 2(b)(i). [2 marks] c. (i) Which three of the meat types could be recommended for a child suffering from kwashiorkor? [3 marks] (ii) State one reason for the answer in 2(c)(i) [1 mark] d. Which of the meat types would most likely be suitable for: (i) an active teenager; [1 mark] (ii) a 70-year old human? [1 mark] e. Which other class of food provides energy? [1 mark] f. State three uses of fat in the human body. [3 marks] g. Describe briefly the procedure for testing for fat in a meat sample using a piece of white paper. [3 marks]
medium Difficulty
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