Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th January 2023

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 25 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
3
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 64.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 14 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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