Recent questions tagged o-level

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Make \(x\) subject of formula: \(V_2=V_1\left(1-\left(\frac{x}{100}\right)^2\right)\)
380
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A rally driver in a competition is expected to cover a distance of \(285 km\) in five hours. Part of the race track is murram while the rest is under repair. The drive is...
286
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Solve the simultaneous equations \(x+3y=-1\) and \(-3x+6y=8\)
248
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Solve the simultaneous equations \(y-3x=5\) and \(2y+3x=28\)
312
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Two students are selected from a class to the quiz team. If one of the student selected is a girl, what is the probability that both the students selected are girls? i. \...
410
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The probability that A speaks truth is \(\frac{4}{5}\), while this for \(B\) is \(\frac{3}{4}\), the probability that they contradict each other when asked to speak on a ...
333
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In the diagram, \(\hat{P}=67^{\circ}, \mathrm{PQ}=3 \mathrm{~cm}\) and \(\mathrm{PR}=9,2 \mathrm{~cm}\). Determine the length of \(Q R\).
559
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Suppose that you spin the dial shown in the figure so that it comes to rest at a random position. Model this with a suitable probability density function, and use it to f...
698
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A heat pump is to extract heat from an outdoor environment at \(7^{\circ} \mathrm{C}\) and heat the environment indoors to \(27^{\circ} \mathrm{C}\). For each \(15,000 J\...
694
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Given, \(\triangle \mathrm{ABC}\) with \(\mathrm{AB}=5,3 \mathrm{~km}, \mathrm{BC}=7,2 \mathrm{~km}\) and \(\hat{\mathrm{C}}=42^{\circ}\)1. Calculate the magnitude of \(\...
1.2k
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Among 40 condensers produced by a machine, 6 are defective. If we randomly check 5 condensers, what are the probabilities that(a) none are defective;(b) all are defective...
828
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The supervisor of a group of 20 construction workers wants to get the opinion of 2 of them (to be selected at random) about certain new safety regulations. If 12 workers ...
560
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Last year; the maximum daily temperature in a plants' server room exceeded \(68^{\circ} \mathrm{F}\) in 12 days. Estimate the probability that the maximum temperature wil...
692
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A car rental agency has 19 compact cars and 12 intermediate-size cars. If four of the cars are randomly selected for a safety check, what is the probability of getting tw...
864
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The next generation of miniaturized wireless capsules with active locomotion will require two miniature electric \({ }^{1}\) motors to maneuver each capsule. Suppose 10 m...
351
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Solve for \(t\) in \(16-2 t=5 t+9\)
761
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What is the probability that of 25 randomly selected students, no two share the same birthday?
399
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Did climate change cause the dust bowl?
718
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\(A, B, C\) and \(D\) are points on the circumference of a circle such that \(A B=B C\). \(A F\) is a tangent to the circle through \(A B C D\) at \(A\).Prove:1. \(\trian...
798
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What is \(12\dfrac{1}{3}\) percent as a fraction?
611
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(a) How fast is the coffee cooling (in degrees per minute) when its temperature is \(T=80^{\circ} \mathrm{C} ?\)(b) Use linear approximation to estimate the change in tem...
523
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In 1939 , Joe Sprinz, a professional baseball player, attempted to catch a ball dropped from a blimp. This was done for the purpose of braking the record for catching a b...
713
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A particle starts from rest (that is with initial velocity zero) at the point \(x=10\) and moves along the \(x\)-axis with acceleration function \(a(t)=12 t\). Find the r...
389
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The equation of position vs. time for a moving object, in SI units, is as \(x=-t^{2}+6 t-9 .\) Which of the following choices are correct?(a) The object's acceleration is...
518
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Factorise \(10 x y^2+52 x y\)
445
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Simplify \(\frac{1}{7} \times \frac{9}{16} \times \frac{16}{9} \times \frac{16}{9} \times \frac{9}{16}=\)
684
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What is a line graph?
296
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Make \(S\) the subject of the relation\[\mathrm{p}=\mathrm{s}+\frac{\mathrm{sm}^{2}}{\mathrm{nr}}\]
373
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Factorise completely: \(75 x-12 x^{3}\)
521
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Factorise completely: \(x-16 x^{3}\)
660
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A map is drawn to a scale of 1:75000. This scale can be expressed as \(1cm\) respresents \(n \mathrm{~km}\). Find \(n\).
797
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A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in \(\left.{ }^{\circ} \mathrm{C}\right)\) for a certain town. The informatio...
832
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Express 80 as a product of primes.
645
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(a) Given that \(m=(6 i+8 j)\) and \(n=\left(-8 i+\frac{7}{3} j\right)\), find the :(i) magnitudes and direction of \(\mathrm{m}\) and \(\mathrm{n} ;\) (ii) angle between...
393
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Boguslawa thinks of a number.She trebles the number.She then subtracts 8 .Boguslawa's answer is 16 .What number did she think of?
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Suppose the position of an object at time $t$ is given by $f(t)=-49 t^{2} / 10+5 t+10 .$ Find a function giving the speed of the object at time $t .$ The acceleration of ...
276
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What is a linear equation?
690
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Solve the linear equation: $3(x+2)-2(1-x)=4 x+5$
369
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Solve the linear equation: $-x-7=-3 x-9$
444
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Express $b \times b \times b \times b \times b$ in exponential form:
752
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$\dfrac{2^{2016}+2^{2017}+2^{2018}+2^{2019}}{2^{2017}+2^{2018}+2^{2019}+2^{2020}}$ is equal to
741
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$1+\dfrac{1}{2+\dfrac{1}{3+\dfrac{1}{4}}}$ is equal to
319
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In 2011 , Canadian federal tax rates were $0 \%$ on the first $\$ 10,527$ of gross income earned, $15 \%$ on the next $\$ 31,017,22 \%$ on the next $\$ 41,544,26 \%$ on t...
365
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Solve the linear equation $\frac{3 m}{4}+2 m=4 m-15$
424
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Solve for $x$: $9^{x+1}=27^{x}$
677
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Express $9^{x-1}+3^{2 x}$ as a single power expression.
329
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The Indiana State Police wish to estimate the average mph being traveled on the Interstate Highways, which cross the state. If the estimate is to be within $\pm 5$ mph of...
942
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Alizon is making pancakes with the same recipe requiring $\frac{3}{4}$ cups of flour. She wants to make half a recipe. She estimates that a $\frac{1}{2}$ cup of flour is ...
337
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Kaymin and Shaquiel are making pancakes. One full recipe requires $\frac{3}{4}$ cups of flour. They wish to double the recipe. How many cups of flour do they need?
402
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Solve the quadratic equation $3 x^{2}+2 x-8=0$
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