Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd August 2022
- 1Bounds3 marks
A block has mass 390 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 9 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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