Ratio Questions

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Split winnings in a ratio

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Ratio of sides of rectangles

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Simplifying ratios

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Ratio and Proportion

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Integer Multiplication, Order of operations, working with fractions, decimal places, significant figures

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Integration by parts, trigonometric integrals, partial fractions, complete the square

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Area and Volume Questions

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Integration by Substitution

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Practice partial fractions. Preparing for integration using partial fractions.

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Pythagoras Theorem, Trigonometric Ratios, radian and degrees, degrees to radians, Sine rule 

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Understanding order of operations on a calculator and using power and root keys.

Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.

(Last three parts of original question removed.)

Inputting ratios of algebraic expressions.

A box is being pushed up a slope by a horizontal force. Calculate the normal reaction force, and the acceleration of the box up the slope.

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

Find the weight of a particle when the mass and acceleration due to gravity is known. Using $F=ma$ to find the acceleration of the particle when it is acted on by a resultant force.

A caravan pulled along by a car. Question uses SUVAT equations and $F=ma$.

This task is part of a set of three assessment tasks for 7.RP.2.

7.RP.2 Robot Races asks students to "explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation" and to "compute unit rates associated with ratios of fractions." Students also need to compare the speeds of the robots.

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Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

A mass is inside a box which is suspended vertically by a cord. Question uses $F=ma$ for different accelerations.

A caravan pulled along by a car. Question uses SUVAT equations and $F=ma$.

A mass attached to a vertical rope. Finding the tension in the rope for different accelerations. Using $F=ma$.

Find the acceleration, distance moved and magnitude of the normal reaction of a particle being pulled along a rough horizontal plane.

Find the weight of a particle when the mass and acceleration due to gravity is known. Using $F=ma$ to find the acceleration of the particle when it is acted on by a resultant force.

Solving questions using $F=ma$ and $W=mg$.

Calculation of area & circumference of circle, given its radiua.

Ball projected vertically within water of a swimming pool. Find the acceleration, greatest height above the swimming pool floor reached, speed and time. Uses SUVAT equations and $F=ma$.

Instructions on inputting ratios of algebraic expressions.