Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th December 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 1.5, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
3
Quadratic Inequalities3 marks
Solve x^2 + 10x + 24 < 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 10 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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