Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th April 1998

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 113 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Factorising Harder Quadratics3 marks
Solve 12x^2 - 7x + 1 = 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 15 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 12 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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