Waecmaths
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| Question 1 |
Express 0.0000407 correct to 2 significant figures |
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| Question 2 |
If x varies inversely as y and y varies directly as z, what is the relationship between x and z |
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| Question 3 |
Evaluate $\frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}$ |
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| Question 4 |
Fig1 and Fig 2are the addition and multiplication tables respectively in modulo 5. Use the these tables to solve the equation $(n\otimes 4)\oplus 3=0(\bmod 5)$ |
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| Question 5 |
The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa is 4:5, what is the ratio of Tunde’s ag to Musa’s age? |
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| Question 6 |
If $M=\{x:3\le x<8\}$ and $N=\{x:8<x<12\}$ , which of the following is true I. $8\in M\cap N$ II. $8\in M\cup N$ III. $M\cap N=\varnothing $ |
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| Question 7 |
Given that $a=\log 7$ and $b=\log 2$ express $\log 35$ in terms of a and b |
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| Question 8 |
If $x=\frac{2}{3}$ and y = – 6, evaluate $xy-\frac{y}{x}$ |
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| Question 9 |
Solve the equation $\frac{1}{5x}+\frac{1}{x}=3$ |
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| Question 10 |
A sum of N18, 100.00 was shared among 5 boys and 4 girls, with each boy taking N20.00 more than each girl. Find a boy’s share |
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| Question 11 |
One factor of $7{{x}^{2}}+33x-10$ is |
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| Question 12 |
Solve: $-\frac{1}{4}<\frac{3}{4}(3x-2)<\frac{1}{2}$ |
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| Question 13 |
Simplify: $3x-(p-x)-(r-p).$ |
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| Question 14 |
An arc of a circle of radius 7.5cm is 7.5cm long. Find , correct to the nearest degree , the angle which are the arc subtends at the centre of the circle [Take$\pi =\tfrac{22}{7}$]
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| Question 15 |
Water flows out of a pipe at a rate of 40πcm3 per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds |
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| Question 16 |
The dimension of a water are 13cm, 10cm, and 70cm . If it is half-filled with water. Calculate the volume of water in litres. |
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| Question 17 |
If the total surface area of a solid hemisphere equal to its volume. Find the radius |
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| Question 18 |
Which of the following is true about parallelograms? |
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| Question 19 |
The diagram shows a circle centre O if $\angle STR={{29}^{\circ }}$ and $\angle RST={{46}^{\circ }}$, calculate the value of $\angle STO$
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| Question 20 |
In the diagram XY is a straight line, $\angle POX=\angle POQ$ and $\angle ROY=\angle QOR$ . Find the value of $\angle POQ+\angle ROY$
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| Question 21 |
The diagram show a circle centre O, If $\angle ZYW={{33}^{\circ }}$ Find $\angle ZWX$ |
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| Question 22 |
In the diagram PQ and PS are tangents to the circ centre O. If $\angle PSQ=m$, $\angle SPQ=n$ and $\angle SQR={{33}^{\circ }}$. Find the value of (m + n)
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| Question 23 |
Calculate the gradient (slope) of the line joining points (–1, 1) and (2, –2) |
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| Question 24 |
If P(2, 3) and Q( 2, 5) are points on a graph, calculate the length PQ |
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| Question 25 |
A bearing of 320o expressed as a compass bearing is |
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| Question 26 |
Given that$\cos {{30}^{\circ }}=\sin {{60}^{\circ }}=\frac{\sqrt{3}}{2}$ and $\sin {{30}^{\circ }}=\cos {{60}^{\circ }}=\frac{1}{2}$ evaluate $\frac{\tan {{60}^{\circ }}-1}{1-\tan {{30}^{\circ }}}$ |
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| Question 27 |
A stationary boat is observed from a height of 100 m . If the horizontal distance between the observer and the boat is 80 m. Calculate, correct to two decimal places, the angle of depression of the boat from the point of observation |
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| Question 28 |
The average age of a group of 25 girls is 10 years. If one girl aged 12 years and 4 months joins the group, find, correct to one decimal place, the new average age of the group. |
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| Question 29 |
The bar chart show the statistics of the number of passes in an examination in a school from 2001 to 2004. What is the ratio of the total number of passes to the total number of failures |
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| Question 30 |
The table gives the distribution of marks obtained by a number of pupils in a class test. |
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| Question 31 |
The table gives the distribution of marks obtained by a number of pupils in a class test. |
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| Question 32 |
In a class of 45 students, 28 students offers Chemistry and 25 offers Biology. If each students offers at least one of the two subjects. Calculate the probability that a student selected at random from the class offers Chemistry only. |
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| Question 33 |
In what number base was the addition 1+ nn = 100 , where n > 0 done? |
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| Question 34 |
Simplify $\sqrt{2}\left( \sqrt{6}+2\sqrt{2} \right)-2\sqrt{3}$ |
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| Question 35 |
Three exterior angles of a polygon are 30o, 40o and 60o . If the remaining exterior angles are 46o each. Name the polygon. |
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| Question 36 |
In the diagram $NQ\parallel TS$ ,$\angle RTS={{50}^{\circ }}$ and $\angle PRT={{100}^{\circ }}$ Find the value of $\angle NPR$
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| Question 37 |
Simplify the expression $\frac{{{a}^{2}}{{b}^{4}}-{{b}^{2}}{{a}^{4}}}{ab(a+b)}$ |
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| Question 38 |
Find the 6th term of the sequence: \[\frac{2}{3},\frac{7}{15},\frac{4}{15},\cdot \cdot \cdot \] |
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| Question 39 |
The diagonal of a square is 60cm. Calculate its perimeter. |
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| Question 40 |
The roots of a quadratic equation are $-\frac{1}{2}$ and $\frac{2}{3}$ . Find the equation |
