Daily Practice

Higher

16th January 1963

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

1
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.
3
Speed and Density2 marks
A block has volume 60 cm^3 and density 11 g/cm^3. Work out its mass.
4
Vectors3 marks
a is the column vector (-4, -2) and b is (-4, -4). Work out 4a - 2b as a column vector.
5
Probability Trees3 marks
6 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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