Daily Practice

Higher Plus

26th November 1957

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 5 in terms of an integer n?
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 27.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 8 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?

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