Daily Practice · Higher
September 1957 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1957 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1957A box plot has a minimum of 2 and a maximum of 14. Work out the range.
- 2nd September 1957Write 7^-3 as a fraction.
- 3rd September 1957Factorise x^2 - 64.
- 4th September 1957A block has volume 195 cm^3 and density 4 g/cm^3. Work out its mass.
- 5th September 1957A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 6th September 195720 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th September 1957A box plot has minimum 1, lower quartile 4, median 10, upper quartile 17 and maximum 21. Work out the interquartile range.
- 8th September 1957Work out (5 x 10^8) x (7 x 10^3). Give your answer in standard form.
- 9th September 1957A region is defined by y <= -3x - 1. Should the boundary line be solid or dashed, and why?
- 10th September 1957x : y = 3 : 8. Write y in terms of x.
- 11th September 1957The point (-2, 0) is enlarged by scale factor -1 about the centre (0, -1). Write down the coordinates of the image.
- 12th September 19574 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th September 1957A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 14th September 1957Write the recurring decimal 0.5353... as a fraction in its simplest form.
- 15th September 1957Factorise x^2 + 17x + 72.
- 16th September 1957A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th September 1957Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1088 cm^3. Work out the volume of the smaller.
- 18th September 195721 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th September 1957A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 20th September 1957A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 21st September 1957Work out the equation of the line parallel to y = 4x + 1 that passes through (6, 35).
- 22nd September 1957y is inversely proportional to x. When x = 2, y = 15. Work out y when x = 5.
- 23rd September 1957A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 24th September 19571 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th September 1957Four classes in order have frequencies 4, 4, 8, 10. Write down the cumulative frequency at the end of the third class.
- 26th September 1957A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th September 1957A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 28th September 1957y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 6.
- 29th September 1957ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 30th September 195721 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.