Daily Practice · Higher Plus

Daily Practice - Higher Plus

16th February 1997

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

1
Bounds3 marks
x = 116 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 12 cm and an area of 33.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.

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