Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th March 2019

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 118 and y = 12, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Write 7/(x - 6) + 6/(x + 2) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 81.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 12 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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