Daily Practice

Higher

4th March 1986

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
3
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 9. Write y in terms of x.
4
Vectors3 marks
a is the column vector (3, 4) and b is (4, -5). Work out 2a - 3b as a column vector.
5
Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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