Daily Practice

Higher Plus

6th December 1964

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

1
Bounds3 marks
x = 144 and y = 110, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 9 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 14 cm and an area of 84.87 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.

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