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 10 units wide with density 0.6. How many values in total?
- 2Bounds3 marks
A car covers 140 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 9 m/s over 4 seconds. Work out the acceleration.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 4b and vector RS = 12a + 12b. What does this show about PQ and RS?
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