Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th January 2006
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 2Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
- 3Algebraic Fractions3 marks
Simplify (x^2 + 10x + 21)/(x + 7).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 10 m/s over 4 seconds. Work out the acceleration.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
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