Daily Practice · Higher

Daily Practice - Higher

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

21st November 2023

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

1
Standard Form3 marks
Work out (10 x 10^7) / (5 x 10^4). Give your answer in standard form.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 3^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 = 3 : 8. Write y in terms of x.
4
Vectors3 marks
a is the column vector (-1, 0) and b is (2, -2). Work out 4a - 3b as a column vector.
5
Probability Trees3 marks
4 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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