Daily Practice

Higher Plus

12th October 1954

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

1
Surds3 marks
Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides 23 cm, 15 cm and 16 cm. Work out the angle opposite the 23 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.

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