Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th May 2014

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 140 and y = 94, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Write x^2 - 14x - 8 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 14 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 14 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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