Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th June 2018

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 96.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 4 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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