Daily Practice · Higher
September 1967 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1967 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1967A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 2nd September 196731 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 1967A box plot has a minimum of 20 and a maximum of 43. Work out the range.
- 4th September 1967A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th September 1967A region is defined by y < 2x + 4. Should the boundary line be solid or dashed, and why?
- 6th September 1967A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 7th September 1967The point (-6, -6) is enlarged by scale factor -3 about the centre (-2, -1). Write down the coordinates of the image.
- 8th September 19672 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 1967A box plot has minimum 8, lower quartile 17, median 27, upper quartile 30 and maximum 35. Work out the interquartile range.
- 10th September 1967Work out (35 x 10^8) / (7 x 10^5). Give your answer in standard form.
- 11th September 1967Factorise x^2 - 10x + 9.
- 12th September 1967x : y = 3 : 8. Write y in terms of x.
- 13th September 1967Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 14th September 196721 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 1967A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 16th September 1967Write the recurring decimal 0.444... as a fraction in its simplest form.
- 17th September 1967Work out the equation of the line parallel to y = -2x + 6 that passes through (3, -8).
- 18th September 1967A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 19th September 1967A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 20th September 19674 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 1967A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 22nd September 1967Work out 64^(2/3).
- 23rd September 1967A line has equation y = 5x + 1. Work out the gradient of any line perpendicular to it.
- 24th September 1967y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 4.
- 25th September 1967ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 26th September 196731 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 1967Four classes in order have frequencies 3, 7, 6, 4. Write down the cumulative frequency at the end of the third class.
- 28th September 1967Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 29th September 1967For the curve y = -50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 30th September 1967y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 9.