Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 4, 12, 26, 46. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 10 m/s over 4 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 4b and vector RS = 4a + 16b. What does this show about PQ and RS?
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