Recent questions tagged exam

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A regular pentagon. Find the length of side x without using trigonometry.
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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?
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Where can I get South African IEB Matric past exam papers ?
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What do I need to bring to the South African Matric exam venue?
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How is the South African Matric exam graded?
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What is the South African Matric exam and why is it important?
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I want to pass the LSATs. Give me the exam format and 5 tips I can inculcate for it.
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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 ...
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How do you find the area of a circle?
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How do you find the area of a triangle?
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What is the formula for the volume of a pyramid?
357
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What is the sum of the interior angles of a hexagon?
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What is the area of a triangle with base 6 and height 4?
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Find the area of a triangle with base 5 and height 7.
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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.
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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...
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A water tank has a square base with internal edge lengths of \(150 \mathrm{~mm}\). What is the height of the tank when the maximum capacity of the tank is \(250 \mathrm{~...
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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.
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Simplify the ratio R250: R150: R100.
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What is the size of each interior angle in a regular hexagon?
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Mary bought a dress for R395,00 and sold it for R250,00. Calculate the percentage loss correct to one decimal place.
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What facts about real numbers do I need to know in order to be ready for a Grade 10 maths exam?
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For the data\[\begin{array}{llllll}\mathrm{t}: & 0 & 0.5 & 1 & 1.5 & 2 \\\mathrm{~F}(\mathrm{t}): & 0 & 0.25 & 1 & 2.25 & 4\end{array}\] third rule is A) \(2.6670\)B) \(2...
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For the data \(\mathrm{t}: \quad \begin{array}{lllll}\quad 0 & 0.5 & 1 & 1.5 & 2 \\ \mathrm{~F}(\mathrm{t}): & 0 & 0.25 & 1 & 2.25\end{array}\) The value of \(\int_{0}^{2...
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What are the three R's in waste management?
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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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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...
622
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Let \(\mathbf{M}=\left(\begin{array}{cc}0 & -5 \\ -2 & 4\end{array}\right)\). There exist scalars \(p\) and \(q\) such that\[\mathbf{M}^{2}=p \mathbf{M}+q \mathbf{I}\]Ent...
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Let \(\mathbf{A}=\left(\begin{array}{cc}15 & 25 \\ -9 & -15\end{array}\right)\). Compute\[\mathbf{I}+2 \mathbf{A}+3 \mathbf{A}^{2}+4 \mathbf{A}^{3}+\cdots .\]
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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...
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Six students write an exam. The average score obtained on the exam by the group of students is \(71 \%\). If the first two students each obtained a mark of \(73 \%\), whi...
556
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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.
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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.
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Given a five-number summary,\[\begin{array}{lllll}\text { minimum } & Q_{1} \quad Q_{2} \quad Q_{3} \quad \text { maximum }\end{array}\] is it possible to determine wheth...
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Interactive Math Exam Paper
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What's the area of square?
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Evaluate the following expression when \(a=3\) and \(b=-8: 3 a^{2}-7 b\)
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Subtract \(\quad-4 x+8 y+6\) from \(2 x+3 y-1\)
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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).
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A well-known folk legend. On the night before the big chemistry exam, two students were partying all night and over slept the exam. Their excuse to the professor was th...
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Write each as a percent:a) \(\frac{1}{4}\)b) \(0.02\)c) \(2.35\)
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On a map, \(1 \mathrm{~cm}\) represent \(5 \mathrm{~km}\). Find the area on the map that represents \(100 \mathrm{~km}^{2}\).
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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 \(\Pi=\frac{22}{7}\)
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A student wishes to investigate whether the pass rate of first year actuarial science students at universities is correlated to a mark obtained in a mathematical entrance...
496
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The more time spent studying, the greater the improvement in exam performance". This is an example of:a) A hypothesis that results in a negative relationshipb) A hypothes...
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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)...
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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 ...
392
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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. \(9 i-44 j\)
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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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For the matrix\[A=\left[\begin{array}{ccc}1 & 0 & -3 \\2 & 3 & 4\end{array}\right]\]Compute \(3 A\).
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