Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd July 1997

5 questions · 15 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 0.4, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
3
Transforming Graphs y=f(x)3 marks
The point (3, 0) lies on y = f(x). Write down its image on y = f(x + 3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 441.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 14 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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