Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th July 2024

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 1.5, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 19 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 11 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 13 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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