Daily Practice · Higher
August 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1958In triangle ABC, angle A is 59°, angle B is 81° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd August 19582 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd August 1958A box plot has a minimum of 2 and a maximum of 61. Work out the range.
- 4th August 1958Work out (4 x 10^3) x (3 x 10^-4). Give your answer in standard form.
- 5th August 1958Factorise x^2 - 9.
- 6th August 1958A block has volume 195 cm^3 and density 4 g/cm^3. Work out its mass.
- 7th August 1958A 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.
- 8th August 195828 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th August 1958A box plot has minimum 5, lower quartile 10, median 18, upper quartile 25 and maximum 28. Work out the interquartile range.
- 10th August 1958Write the recurring decimal 0.3636... as a fraction in its simplest form.
- 11th August 1958A region is defined by y < -4x + 5. Should the boundary line be solid or dashed, and why?
- 12th August 1958x : y = 5 : 9. Write y in terms of x.
- 13th August 1958The point (-6, -4) is enlarged by scale factor -3 about the centre (-3, 1). Write down the coordinates of the image.
- 14th August 19581 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th August 1958A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 16th August 1958A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 17th August 1958Factorise x^2 - 10x + 9.
- 18th August 1958A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 19th August 1958Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 20th August 195823 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st August 1958A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 22nd August 1958A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd August 1958Work out the equation of the line parallel to y = -2x + 5 that passes through (6, -2).
- 24th August 1958y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 12.
- 25th August 1958A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 26th August 19581 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th August 1958Four classes in order have frequencies 5, 11, 8, 5. Write down the cumulative frequency at the end of the third class.
- 28th August 1958Work out (45 x 10^12) / (5 x 10^4). Give your answer in standard form.
- 29th August 1958A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
- 30th August 1958y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 9.
- 31st August 1958ABCD is a cyclic quadrilateral. Angle ABC is 116°. Work out angle ADC.