Jambmaths
Maths Question | |
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Question 1 |
Subtract 16418_{9} from 18630_{9} |
Question 2 |
If 55_{x} +52_{x} =77_{10}, find x |
Question 3 |
Simplify $7\tfrac{1}{12}-4\tfrac{3}{4}+2\tfrac{1}{2}$ |
Question 4 |
Evaluate $\frac{81.81+99.44}{20.09+36.16}$ |
Question 5 |
A man brought a second – hand photocopy machine for N34,000. He serviced it at a cost of N2,000 and sold it a profit of 15%. What was the selling price? |
Question 6 |
A student spent $\tfrac{1}{5}$of his allowance on books, $\tfrac{1}{3}$of the reminder on food and kept the rest for contingencies. What fraction was kept. |
Question 7 |
Solve ${{5}^{2(x-1)}}\times {{5}^{x+1}}=0.04$ |
Question 8 |
If ${{\log }_{10}}2=0.3010\text{ and }{{\log }_{10}}7=0.8451$ evaluate ${{\log }_{10}}280$ |
Question 9 |
Simplify $\frac{5+\sqrt{7}}{3+\sqrt{7}}$ |
Question 10 |
If $x=\{{{n}^{2}}+1:\text{ }n\text{ is a positive and }1\le n\le 5\}$ $y=\{5n:n\text{ is a positive integer and }1\le n\le 5\}$ find $x\cap y$ |
Question 11 |
I. $S\cap T\cap W=S$ II. $S\cup T\cup W=W$ III. $T\cap W=S$
If $S\subset T\subset W,$which of the above statement are true |
Question 12 |
If $P=\sqrt{\frac{r{{s}^{3}}}{t}},$express r in term of p, s and t |
Question 13 |
A polynomial in x whose roots are $\tfrac{4}{3}$ and $-\tfrac{3}{5}$ is |
Question 14 |
Which of the following represent the graph above? |
Question 15 |
W is directly proportional to U. If W =5 when U = 3. Find U when W =$\tfrac{2}{7}$ |
Question 16 |
Determine the value of x for which $({{x}^{2}}-1)>0$ |
Question 17 |
Find the range of value for which $3x-7\le 0$ and $x+5>0$ |
Question 18 |
The sum of the first n term of the arithmetic progression 5,11,17,23,29,35, –, –,– |
Question 19 |
Find to infinity, the sum of the sequence $1,\tfrac{9}{10},{{(\tfrac{9}{10})}^{2}},{{(\tfrac{9}{10})}^{3}}\cdot \cdot \cdot $ |
Question 20 |
If $m*n=n-(m+2)$for any real number m and n find the value of $3*(-5)$ |
Question 21 |
A binary operation $\otimes $defined on the set of integers is such that m$\otimes $n = m + n + mn for all integers m and n. Find the inverse of –5 under this operation, if the identity element is 0 |
Question 22 |
If $Q=\left( \begin{matrix} 9 & -2 \\ -7 & 4 \\\end{matrix} \right),\text{then }\left| Q \right|\text{is}$ |
Question 23 |
If $\left( \begin{matrix} x+3 & x+2 \\ x+1 & x-1 \\\end{matrix} \right)$, evaluate x if $\left| P \right|=-10$ |
Question 24 |
Find the angle between the straight line $y=x\,\text{and }y=\sqrt{3}x$ |
Question 25 |
A regular polygon has 150^{o} as the size of each interior angle. How many sides does it have? |
Question 26 |
In the figure above $TS\parallel XY$and XY = TY, $\angle STZ={{34}^{\circ }},\text{ }\angle TXY={{47}^{\circ }}$find the angle marked n |
Question 27 |
If the hypotenuse of a right – angle isosceles triangle is 2cm. What is the area of the triangle? |
Question 28 |
A chord is drawn 5cm away from the centre of a circle of radius is 13cm. Calculate the length of the chord. |
Question 29 |
Find the radius of a sphere whose surface area is 154 cm^{2} |
Question 30 |
Find the locus of a particle which moves in the first quadrant so that it is equidistant from the line x = 0 and y = 0 (where k is a constant) |
Qustion 31 |
What is the locus of the mid-point of all chords of length 6cm with a circle of radius 5cm and with centre O |
Question 32 |
What is the value of P if the gradient of the line joining ( – 1,p) and (p, 4) is $\tfrac{2}{3}$ |
Question 33 |
What is the value of r, if the distance between the point(4, 2) and (1,r) is 3 units |
Question 34 |
Find the value of sin45^{o} – cos 30^{o} |
Question 35 |
A cliff on the bank of a river is 300 metres high. If the angles of depression of a point on the opposite side of the river is 60^{o}. Find the width of the river. |
Question 36 |
If $y=3\cos 4x,\text{ }\frac{dy}{dx}$ equals |
Question 37 |
If $s=(2+3t)(5t-4),\text{ find }\frac{ds}{dt}$ when t = $\tfrac{4}{5}$secs. |
Question 38 |
What is the value of x will make the function $x(4-x)$ a maximum? |
Question 39 |
The distance travelled by a particle from a fixed point is given as $s={{t}^{3}}-{{t}^{2}}-t+5$find the minimum distance that the particle can cover from the fixed point. |
Question 40 |
Evaluate $\int{{{\sec }^{2}}\theta }d\theta $ |