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The cone is cut open to make a sector $ABC$ of a circle centre $O$ as shown in the diagram.

asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The cone is cut open to make a sector $ABC$ of a circle centre $O$ as shown in the diagram.

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asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The triangle LMN has vertices at $\mathrm{L}(3 ; 1) . \mathrm{M}(2 ; 2)$ and $\mathrm{N}(0 ; 1)$.

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Find the maximum value of $3 y+x$, given that $x$ and $y$ satisfy these three inequalities.

asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 9 views

Find the maximum value of $3 y+x$, given that $x$ and $y$ satisfy these three inequalities.

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asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Solve the equation $3 x^{2}+3 x-4=0$, giving the answers correct to 3 significant figures.

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asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Show that $\frac{2}{1-x}-\frac{4}{x}=3$ reduces to $3 x^{2}+3 x-4=0$.

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$The table shows of values for the function $y=\frac{1}{2} x(5-x)$$

asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The table shows of values for the function $y=\frac{1}{2} x(5-x)$

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$In the diagram, $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ are points on the circumference of a circle with centre O.$

asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

In the diagram, $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ are points on the circumference of a circle with centre O.

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$Make $x$ the subject of the formula $y=\frac{p-2 x}{x}$$

asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Make $x$ the subject of the formula $y=\frac{p-2 x}{x}$

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asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Solve the equation $9^{m-1}=27$

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If two students were selected at random from the class, find the probability that both enjoyed playing the guitar.

asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

If two students were selected at random from the class, find the probability that both enjoyed playing the guitar.

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asked 9 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The area of a trapezium is $63 \mathrm{~cm}^{2}$ and the sum of the lengths of its two parallel sides is $22,5 \mathrm{~cm}$.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Express $\dfrac{2 x-1}{4}-\dfrac{3 x-5}{12}$ as a single fraction in its simplest form.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

A shop sells a refrigerator at $540. In the previous year the cost of the same type of a refrigerator was 8% less.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Four interior angles of a nonagon have a sum of $460^{\circ} .$ The remaining interior angles are equal. Find the size of each of the remaining angles.

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$The diagram shows a quadrilateral $\mathrm{ABCD}$ with $\mathrm{BC}=8 \mathrm{~cm}, \mathrm{AC}=12 \mathrm{~cm}$ $\mathrm{C} \hat{\mathrm{A}} \mathrm{D}=46,5^{\circ}$ and $\mathrm{ABC}=\mathrm{A} \hat{\mathrm{C}} \mathrm{D}=90^{\circ}$$

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The diagram shows a quadrilateral $\mathrm{ABCD}$ with $\mathrm{BC}=8 \mathrm{~cm}, \mathrm{AC}=12 \mathrm{~cm}$ $\mathrm{C} \hat{\mathrm{A}} \mathrm{D}=46,5^{\circ}$ and $\mathrm{ABC}=\mathrm{A} \hat{\mathrm{C}} \mathrm{D}=90^{\circ}$

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

It is given that $f(x)=10+3 x-x^{2}$. Find the values of $x$ when $f(x)=0$.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

It is given that $f(x)=10+3 x-x^{2}$. Find, $f(2)$.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Factorise completely $27-3 x^{2}$

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Factorise completely $y^{2}+10 y-24$,

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$In the diagram, $\mathrm{O}$ is the centre of the circle. TAS is a tangent to the circle at $\mathrm{A}$, $\mathrm{BA} \hat{\mathrm{S}}=40^{\circ}$ and $\mathrm{OBC}=54^{\circ}$$

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

In the diagram, $\mathrm{O}$ is the centre of the circle. TAS is a tangent to the circle at $\mathrm{A}$, $\mathrm{BA} \hat{\mathrm{S}}=40^{\circ}$ and $\mathrm{OBC}=54^{\circ}$

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Calculate the speed of the object after the first 2 seconds.

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Calculate the speed of the object after the first 2 seconds.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

A map is drawn to a scale of $1: 75000$.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

It is given that, the universal set $\xi$ has subsets $\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ such that

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$In the diagram, $\mathrm{PQR}$ is an isosceles triangle such that $\mathrm{PQ}=\mathrm{PR}=7 \mathrm{~cm}$ and $\mathrm{PRQ}=35^{\circ}$ Using as much of the information given below as is necessary, calculate$

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

In the diagram, $\mathrm{PQR}$ is an isosceles triangle such that $\mathrm{PQ}=\mathrm{PR}=7 \mathrm{~cm}$ and $\mathrm{PRQ}=35^{\circ}$ Using as much of the information given below as is necessary, calculate

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The pie chart shows the distribution of an athlete's daily exercise programme.

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The pie chart shows the distribution of an athlete's daily exercise programme.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Factorise completely

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

A luxury coach leaves Bulawayo for Harare every morning at $7.30 \mathrm{am}$ and arrives in Harare at $1.00 \mathrm{pm}$.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Given that $y$ is inversely proportional to $(x-1)^{2}$ and that $y=2$ when $x=7$,

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Find $x$ if $9^{x-1} = 3^{3 x-2}$

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Evaluate $81^{\frac{3}{4}}$

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The table shows part of Ms Dube’s payslip for a particular month.

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The table shows part of Ms Dube’s payslip for a particular month.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Solve for $x$: Evaluate $\log _{2}x=64$

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Evaluate the logarithms

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$In the diagram, $A, B$ and $C$ are positions of 3 boreholes where $B A=B C$. The borehole at $\mathrm{C}$ has a bearing of $116^{\circ}$ from the borehole at $\mathrm{B}$.$

asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

In the diagram, $A, B$ and $C$ are positions of 3 boreholes where $B A=B C$. The borehole at $\mathrm{C}$ has a bearing of $116^{\circ}$ from the borehole at $\mathrm{B}$.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Solve the inequality $2-x \leq 2 x-1<11$, giving the answer in the form $a \leq x<b$, where $a$ and $b$ are integers.

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asked 10 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Write down the special name given to a polygon with five sides.

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

The probability that Sihle will bring a calculator is $\frac{5}{6}$ while that for Yemurai is $\frac{3}{5}$.

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

When baking scones, a baker mixes six cups of flour, one cup of sugar, two cups of water and half a cup of milk, together with other ingredients.

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Make $a$ the subject of the formula $\frac{1}{a}+\frac{1}{b}=3$.

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Solve the equation: $ \frac{2 y+5}{3 y-2}=\frac{9}{4} $

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Solve the simultaneous equations: $2 x+3 y=28 ; x+5 y=35$

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Evaluate $203_{7}-154_{7}$ giving the answer in base 7 .

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Convert $101_{10}$ to a number in base 9 .

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Express $1 \times 3^{3}+2 \times 3^{3}+1 \times 3^{1}$ as a number in base 3 .

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$Express $\overrightarrow{\boldsymbol{P} \boldsymbol{Q}}$ as a column vector.$

asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Express $\overrightarrow{\boldsymbol{P} \boldsymbol{Q}}$ as a column vector.

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asked 11 hours ago in O Level by ♦MathsGee Gold Status (14.2k points) | 2 views

In an athletics competition, under 20 boys compete in a $5000 \mathrm{~m}$ race, while under 16 boys compete in a $3000 \mathrm{~m}$ race.

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Given that $p=-4, q=3$ and $r=-1$, evaluate

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Simplify $1 \dfrac{1}{2}-\dfrac{4}{7} + \dfrac{2}{3}$ giving the answer as a fraction in its simplest form.

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asked 11 hours ago in O Level Maths by ♦MathsGee Gold Status (14.2k points) | 2 views

Find the value of $\frac{8}{0,04}$

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asked 12 hours ago in A Level Physics by ♦MathsGee Gold Status (14.2k points) | 2 views

A particle is moving on a straight line path with constant acceleration directed along the direction of instantaneous velocity.

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