Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

6th February 2023

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Standard Form2 marks
Work out (3 x 10^8) x (5 x 10^3). Give your answer in standard form.
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
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
4
Vectors3 marks
a is the column vector (4, 1) and b is (-4, -3). Work out 3a - 5b as a column vector.
5
Probability Trees3 marks
1 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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