Daily Practice · Higher
July 1972 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 197226 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 1972A box plot has a minimum of 13 and a maximum of 32. Work out the range.
- 3rd July 1972Work out (2 x 10^6) x (6 x 10^4). Give your answer in standard form.
- 4th July 1972Make x the subject of y = 2x^2 - 4.
- 5th July 1972A block has volume 100 cm^3 and density 3 g/cm^3. Work out its mass.
- 6th July 1972In triangle ABC, angle A is 69°, angle B is 77° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th July 19721 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 1972A box plot has minimum 2, lower quartile 12, median 22, upper quartile 27 and maximum 34. Work out the interquartile range.
- 9th July 1972Write the recurring decimal 0.6868... as a fraction in its simplest form.
- 10th July 1972Factorise x^2 - 49.
- 11th July 1972x : y = 2 : 9. Write y in terms of x.
- 12th July 1972A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 13th July 19728 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 1972A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 15th July 1972A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 16th July 1972A region is defined by y <= 2x + 5. Should the boundary line be solid or dashed, and why?
- 17th July 1972A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 18th July 1972The point (1, 2) is enlarged by scale factor -1 about the centre (2, 4). Write down the coordinates of the image.
- 19th July 19723 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 1972A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 21st July 1972A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd July 1972Factorise x^2 - 2x - 35.
- 23rd July 1972y is inversely proportional to x. When x = 9, y = 20. Work out y when x = 5.
- 24th July 1972Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 108 cm^3. Work out the volume of the smaller.
- 25th July 197220 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 1972Four classes in order have frequencies 7, 10, 5, 9. Write down the cumulative frequency at the end of the third class.
- 27th July 1972Work out (45 x 10^12) / (5 x 10^5). Give your answer in standard form.
- 28th July 1972Work out the equation of the line parallel to y = 5x - 2 that passes through (4, 9).
- 29th July 1972y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 5.
- 30th July 1972A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 31st July 19721 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.