Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st October 1999

5 questions · 14 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 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(20) + sqrt(125), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 8, 20, 38. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 392.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 14 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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