Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th June 2019

5 questions · 15 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. How many values in total?
2
Surds3 marks
Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 162.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 11 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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