A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type forN30. What is the cost of a pen?
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2003
Interpret the inequality represented on the number line.
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2003
The table below gives the distribution of marks obtained by a number of pupils in a class test. Use the information to answer the question below.How many pupils scored at least 2 marks?
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2003
The table below gives the distribution of marks obtained by a number of pupils in a class test. Use the information to answer the question below.Find the median of the distribution.
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2003
The table below gives the distribution of marks obtained by a number of pupils in a class test. Use the information to answer the question below.The mode of the distribution is
The table below shows the values of the relation \(y = 11 - 2x - 2x^{2}\) for \(-4 \leq x \leq 3\).x-4-3-2-10123y-13 11 (a) Copy and complete the table.(b) Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5…
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2003
Using ruler and a pair of compasses only,(a) construct a quadrilateral PXYQ such that /PX/ = 9.9 cm, /QX/ = 10.2 cm, < QPZ = 75°, /QY/ = 10.4 cm and PQ // XY. (b) Construct the (i) locus \(l_{1}\) of points equidista…
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2003
An aeroplane flies due west for 3 hours from P (lat. 50°N, long. 60°W) to a point Q at an average speed of 600km/h. The aeroplane then flies due south from Q to a point Y 500km away. Calculate, correct to 3 significant…
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2003
In the diagram, PQT is a straight line and SQ // RT.(a) Join QR and show that : (i) < RPS = < QRT ; (ii) < PRS = < QTR.(b) ABC is a triangle. The sides AB and AC are produced to D and E respectively such that…
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2003
The marks obtained by 40 students in an examination are as follows :85 77 87 74 77 78 79 89 95 90 78 73 86 83 91 74 84 81 83 75 77 70 81 69 75 63 76 87 61 78 69 96 65 80 84 80 77 74 88 72.(a) Copy and complete the table…
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2003
(a) A = {1, 2, 5, 7} and B = {1, 3, 6, 7} are subsets of the universal set U = {1, 2, 3,...., 10}. Find (i) \(A'\) ; (ii) \((A \cap B)'\) ; (iii) \((A \cup B)'\) ; (iv) the subsets of B each of which has three elements.…
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2003
The table shows the monthly contributions and expenditure pattern of an employee in 1999.ItemPercentagePension5Income Tax25Food40Transport10Rent12.5Others7.5(a) Draw a pie chart to illustrate the data.(b) If the employe…
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2003
(a) Simplify : \(\frac{\frac{1}{3}c^{2} - \frac{2}{3}cd}{\frac{1}{2}d^{2} - \frac{1}{4}cd}\)(b) In the diagram, YPF is a straight line. < XPY = 44°, < MPF = 46°, < XYP = < MFP = 90°, /XY/ = 7cm and /MP/ = 9…
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2003
The table shows the number of suitcases possessed by a group of travellers.No. of suitcases012345Travellers277239(a) Calculate the (i) median (ii) mean, correct to the nearest whole number.(b) Draw a bar chart to repres…
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2003
In the diagram, PQRS is a circle with centre O and radius 7cm. SQ and PR intersect at K and < SKR = 90°. If the length of the arc SR is four times that of arc PQ, find the length of the arc SR. [Take \(\pi = \frac{2…
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2003
(a) Simplify : \(625^{\frac{3}{8}} \times 5^{\frac{1}{2}} \div 25\)(b) Solve the following equations correct to one decimal place. (i) \(\tan (\theta + 25)° = 5.145\)(ii) \(5\cos \theta - 1 = 0\), where \(0° \leq \theta…
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2003
Without using Mathematical tables or a calculator, simplify :(a) \(\sqrt{50} - 3\sqrt{2}(2\sqrt{2} - 5) - 5\sqrt{32}\)(b) \(\frac{1}{2} \log_{10} \frac{25}{4} - 2 \log_{10} \frac{4}{5} + \log_{10} \frac{320}{125}\).
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2003
(a) If p varies directly as \(r^{2}\) and p = 3.2 when r = 4, find the value of p when r = 6.5.(b) Solve the simultaneous equations :\(\frac{x}{2} + \frac{y}{4} = 1 ; \frac{x}{3} - \frac{y}{4} = \frac{-1}{6}\)