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This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Is this number divisible by 100? Half the time the number is, half the time it isn't. Steps give the divisibility test and how to count the number of 100s.

Is this number divisible by 125? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 250? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 50? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of fifties.

Is this number divisible by 25? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of twenty-fives.

A ball is thrown vertically upwards from a position above ground level. Find its greatest height, and the total time its in the air.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

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Her finner du oppgaver fra klassetrinn 1 til 7

Is this number divisible by 2? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 9? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 3? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 10? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of tens.

Is this number divisible by 5? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of fives.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Tests Algebra, Graphing Straight Lines, Probability, Statistics

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Open and answer

Two questions testing the application of the Sine Rule when given two angles and a side. In this question the triangle is obtuse. In one question, the two given angles are both acute. In the second, one of the angles is obtuse.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

Straightforward question: student must find the general solution to a second order constant coefficient ODE. Uses custom marking algorithm to check that both roots appear and that the solution is in the correct form (e.g. two arbitrary constants are present). Arbitrary constants can be any non space-separated string of characters. The algorithm also allows for the use of $e^x$ rather than $\exp(x)$.

Unit tests are also included, to check whether the algorithm accurately marks when the solution is correct; when it's correct but deviates from the 'answer'; when one or more roots is incorrect; or when the roots are correct but constants of integration have been forgotten.

Testing the understanding of the formal definition of $A\subseteq B$.

Testing addition, multiplication and division involving negative numbers.

Tests the ability to find the gradient and intercept of a straight line graph.

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