Daily Practice

Higher Plus

14th February 1954

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

1
Bounds3 marks
x = 48 and y = 28, 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 = 169 and y = x - 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 14 cm and 9 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.

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