Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th December 2001

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
2
Bounds3 marks
x = 61 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 22 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 11 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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