Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th November 2005

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 1.2, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (1, 6) lies on y = f(x). Write down its image on y = f(x + 5).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 23 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 6 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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