Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd July 2020

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 (4x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 6 m/s over 4 seconds. Work out the acceleration.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 11 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?

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