Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th November 2019

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 2, one 10 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
3
Transforming Graphs y=f(x)3 marks
The point (4, -5) lies on y = f(x). Write down its image on y = f(x - 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 320.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 6 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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