Waecmaths
| Title | waecmaths question |
|---|---|
| Question 1 |
Multiply $2.7\times {{10}^{-4}}$ by $6.3\times {{10}^{6}}$ and leave your answer in standard form |
| Question 2 |
If ${{9}^{(2-x)}}=3$, find x |
| Ouestion 3 |
In what number base is the addition of 465 + 24 + 225 =1050 |
| Question 4 |
Simplify $\frac{1\tfrac{7}{8}\times 2\tfrac{2}{5}}{6\tfrac{3}{4}\div \tfrac{3}{4}}$ |
| Question 5 |
If ${{U}_{n}}=n({{n}^{2}}+1)$ evaluate U5 – U4 |
| Question 6 |
If $\sqrt{50}-k\sqrt{8}=\frac{2}{\sqrt{2}}$ find k |
| Question 7 |
A sales boy gave a change of N68 instead of N72. Calculate his percentage error. |
| Question 8 |
Four oranges sell for Nx and three mangoes sell for Ny. Olu brought 24 oranges and 12 mangoes. How much did he pay in terms of x and y |
| Question 9 |
Simplify $\frac{{{x}^{2}}-{{y}^{2}}}{{{(x+y)}^{2}}}\div \frac{{{(x-y)}^{2}}}{(3x+3y)}$ |
| Question 10 |
Solve the inequality $\frac{2x-5}{2}<(2-x)$ |
| Question 11 |
If x = 64 and y = 27, evaluate $\frac{{{x}^{\tfrac{1}{2}}}-{{y}^{\tfrac{1}{3}}}}{y-{{x}^{\tfrac{2}{3}}}}$ |
| Question 12 |
Which of the following lines represents the solution of the inequality $7x<9x-4$? |
| Question 13 |
If $\tfrac{1}{2}x+2y=3\text{ and }\tfrac{3}{2}x-2y=1$ find (x + y) |
| Question 14 |
Given that ${{p}^{\tfrac{1}{3}}}=\frac{\sqrt[3]{q}}{r}$, make q the subject of the equation |
| Question 15 |
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| Question 16 |
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| Question 17 |
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord. |
| Question 18 |
A cube and a cuboid have the same area. The volume of the cube is 64cm3. While that of the cuboid is 80cm3. Find the height of the cuboid |
| Question 19 |
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| Question 23 |
In the diagram, O is the centre of the circle, $OM\parallel XZ$and $\angle ZOM={{25}^{\circ }}$. Calculate $\angle XYZ$ |
| Question 24 |
If $\sin x=\tfrac{5}{13}$ and ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ find the value of $(\cos x-\tan x)$ |
| Question 25 |
An object is 6m away from a mast. The angle of depression of the object from the top of the mast is 50o. Find, correct to 2 decimal places the height of the mast. |
| Question 26 |
The bear of Y from X is 060o and the bearing of Z from Y =060o. Find the bearing of X from Z |
| Question 27 |
Which of the following is NOT a probability of Mary scoring 85% in a mathematics test? |
| Question 30 |
If $2{{\log }_{x}}(3\tfrac{3}{8})=6$ find the value of x |
| Question 31 |
If $P=\{y:2y\ge 6\}$and $Q=\{y:y-3\le 3\}$ when y is an integer. Find $P\cap Q$ |
| Question 32 |
Find the values of k in the equation $6{{k}^{2}}=5k+6$ |
| Question 33 |
If y varies directly as the square root of (x +1) and y = 6 when x =3, find x when y = 9 |
| Question 34 |
The graph of the relation $y={{x}^{2}}+2x-k$ passes through the points (2,0). Find the value of k |
| Question 35 |
The pie chart shows the distribution of 600 mathematics textbooks for Arts, Business, Science and Technical classes. How many textbooks are for the Technical classes? |
| Question 36 |
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| Question 37 |
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| Question 38 |
What is the locus of the point X which moves relatives to two fixed points P and M on a plane such that $\angle PXM={{30}^{\circ }}$ |
| Question 39 |
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| Question 40 |
When a number is subtracted from 2, the result equals 4 less than one – fifth of the number. Find the number |
| Question 41 |
Express $\frac{2}{x+3}-\frac{1}{x-2}$ as a simple fraction |
| Question 42 |
An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon |
| Question 43 |
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| Question 44 |
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| Question 45 |
Given that $P={{x}^{2}}+4x+2,\text{ }Q=2x-1\text{ and }Q-P=2$ find x |

In the diagram PRST is a square. If $\left| PQ \right|=24cm,\text{ }\left| QR \right|=10cm\text{ and }\angle PQR={{90}^{\circ }}$ , find the perimeter of the polygon PQRST
In the diagram, the height of the flagpole $\left| TF \right|$ and the length of its shadows $\left| FL \right|$are in the ratio 6:8. Using K as a constant proportionality, find the shortest distance between T and L
In the diagram $\overline{VX}$is a tangent to the tangent to the circle UYW at W. If $WY\parallel UV$, $\angle UYW={{95}^{\circ }}$ and $\angle UWY={{46}^{\circ }}$find $\angle UVW$

In the diagram, PQRST is a regular polygon with the sides of OR and TS produced to meet at V. Find the size of $\angle RVS$
In the diagram, PQ is a straight line, calculate the value of angle labelled 2y
In the diagram $\overline{ST}\parallel \overline{PQ}$, reflex angle SRQ =198o and $\angle RQP={{72}^{\circ }}$ . Find the value of y
Using the Venn diagram, find$n(X\cap Y')$