Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th August 2010
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 1, 5, 15, 31, ...
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 13 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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