Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

23rd October 2015

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 22 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 12 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?

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