Recent questions tagged kcse

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A regular pentagon. Find the length of side x without using trigonometry.
97
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If the region in the first quadrant bounded by the curve \( y=e^{x} \) and \( x=1 \) is rotated about the \( x \) axis, what is the volume of the resulting solid?
221
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How do I calculate the perimeter of a regular pentagon?
262
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List the highest common factor of 24; 100 and 256
340
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A sequence of isosceles triangles is drawn. The \(1^{\text {st }}\) triangle has a base length of \(2 \mathrm{~cm}\) and a height of \(2 \mathrm{~cm}\). The base of each ...
419
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How do you find the area of a trapezoid?
614
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How do you find the area of a circle?
377
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How do you find the area of a triangle?
328
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What is the formula for the volume of a pyramid?
364
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What is the sum of the interior angles of a hexagon?
326
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What is the area of a triangle with base 6 and height 4?
229
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Using the Factor Theorem, factor the polynomial $x^3 + 6x^2 + 11x + 6$.
312
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Find the area of a rectangle with width 5 and height 6.
300
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Find the area of a triangle with base 5 and height 7.
360
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What is the highest common factor of \(25 ; 75\) and 600 ?
257
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Factor the polynomial $x^2 + 5x + 6$.
451
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Find the volume of a pyramid with a base of 10 cm by 15 cm and a height of 8 cm.
184
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An L-shaped region is formed by attaching two 2 by 5 rectangles to adjacent sides of a 2 by 2 square as shown below.The resulting shape has an area of 24 square units. Ho...
399
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A solid cylinder has a base with the radius \(=7 \mathrm{~cm}\), the height \(=16 \mathrm{~cm}\) and \(\pi=\frac{22}{7}\). Calculate the surface area of the cylinder.
486
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What is the area of a rectangle if the length \(=17 \mathrm{~cm}\) and the breadth \(=12 \mathrm{~cm} ?\)
639
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What is the size of each interior angle in a regular hexagon?
360
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Find the radius of the circle
335
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What are the three R's in waste management?
596
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Show that the people at a party can be divided into two groups and sent to two different rooms in such a way that, for every person in either room, at least half that per...
392
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What is the area and the perimeter of the hexagon?
575
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Find \(\mathrm{R}(\) green \()=\) ?If R1, R2 and R3 are 3, 1 and 2 units respectively
521
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If the perimeter of this rectangle is less than 100 units, write an inequality that describes the possible values of \(x\).
695
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Find the length of \(LM\)
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The diagram shows a regular pentagon and a regular hexagon which overlap. Find the size of angle \(x\)
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Find the sum of the circumference of all the circles in the given figure. It is known that the largest circle touches the three sides of the triangle and there are infini...
571
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What is the area of a container with the following internal dimensions: height = 2.5m, width = 4m and length = 3m
433
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A piece of wire \(72 \mathrm{~cm}\) long is cut into two equal pieces and each is formed into a circle. What is the sum, in square centimeters, of the areas of these circ...
595
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The lengths in feet of three pieces of timber are 48, 72, and 40. The sawmill operator needs to cut the timber into logs of equal length with no waste. How many feet long...
563
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Find the volume of the solid formed by revolving the region bounded by \(y=(x-2)^{2}\) and \(y=x\) about the \(y\)-axis.
274
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Determine the area of the region bounded by the curve defined by \(y=x^{2}-4\) and the lines \(y=0\) and \(x=4\), as shown in the diagram below.
484
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What is the Greatest Common Factor of \(45,75,120\)?
484
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What's the area of square?
385
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Evaluate the following expression when \(a=3\) and \(b=-8: 3 a^{2}-7 b\)
437
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What is the value of \(6(2 b-4)\) when \(b=5\) ?
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The circle below has radius 1 , and the longer circular are joining \(A\) and \(B\) is twice as long as the chord \(A B\). Find the length of the chord \(A B\), correct t...
671
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A rectangle's length is \((x+2) \mathrm{cm}\) and its width is \(4 \mathrm{~cm}\). Write the simplified equation of the area (A).
301
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Three friends sit around a table, each with a large plate of cheese. Instead of eating it, every minute each of them simultaneously pass half of their cheese to the neigh...
494
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On a map, \(1 \mathrm{~cm}\) represent \(5 \mathrm{~km}\). Find the area on the map that represents \(100 \mathrm{~km}^{2}\).
531
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The curved surface area of a cylinder \(5 \mathrm{~cm}\) high is \(110 \mathrm{~cm}^{2}\). Find the radius of its base \(\Pi=\frac{22}{7}\)
366
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Simplify \(\dfrac{\sqrt{8+8^{2}+8^{3}}}{\sqrt{\dfrac{72}{8}}}\)
551
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Given that \(p=\left(\begin{array}{c}5 \\ 3\end{array}\right), q=\left(\begin{array}{c}-1 \\ 2\end{array}\right)\) and \(r=\left(\begin{array}{c}17 \\ 5\end{array}\right)...
576
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The table shows the frequency distribution of the ages of patients in a clinic.\begin{align}\begin{array}{|l|l|l|l|l|l|}\hline \text { Ages (years) } & 17-19 & 20-22 & 23...
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(a) Given that \(\log _{10} p=a, \log _{10} q=b\) and \(\log _{10} s=c\), express \(\log _{10}\left(\frac{p^{\frac{1}{3}} q^{4}}{s^{2}}\right.\) in terms of \(a, b\) and ...
398
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Given that \(a=5 i+4 j\) and \(b=3 i+7 j\), evaluate \((3 a-8 b)\)A. \(9 i+44 j\)B. \(-9 i+44 j\)C. \(-9 i-44 j\)D. \(9 i-44 j\)
586
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Given that \(a=\left(\begin{array}{l}2 \\ 3\end{array}\right)\) and \(b=\left(\begin{array}{c}-1 \\ 4\end{array}\right)\), evaluate \(\left(2 a-\frac{1}{4} b\right)\)A. \...
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