Daily Practice · Higher
July 1995 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 199524 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 1995A box plot has a minimum of 11 and a maximum of 25. Work out the range.
- 3rd July 1995A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th July 1995Make x the subject of y = 5x^2 - 5.
- 5th July 1995A block has volume 175 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 6th July 1995In triangle ABC, angle A is 56°, angle B is 33° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th July 19951 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 1995A box plot has minimum 4, lower quartile 9, median 15, upper quartile 19 and maximum 27. Work out the interquartile range.
- 9th July 1995Work out (18 x 10^7) / (9 x 10^5). Give your answer in standard form.
- 10th July 1995Factorise x^2 - 25.
- 11th July 1995x : y = 2 : 9. Write y in terms of x.
- 12th July 1995A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 13th July 199517 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 1995A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 15th July 1995Write the recurring decimal 0.333... as a fraction in its simplest form.
- 16th July 1995A region is defined by y <= -4x + 4. Should the boundary line be solid or dashed, and why?
- 17th July 1995A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 18th July 1995The point (1, 2) is enlarged by scale factor -2 about the centre (-2, -3). Write down the coordinates of the image.
- 19th July 19954 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 1995A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 21st July 1995Work out 27^(2/3).
- 22nd July 1995Factorise x^2 + 8x + 15.
- 23rd July 1995y is inversely proportional to x. When x = 4, y = 40. Work out y when x = 10.
- 24th July 1995Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 25th July 199516 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 1995Four classes in order have frequencies 4, 6, 3, 11. Write down the cumulative frequency at the end of the third class.
- 27th July 1995Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 28th July 1995Work out the equation of the line parallel to y = x - 4 that passes through (3, 4).
- 29th July 1995y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 9.
- 30th July 1995A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 31st July 19953 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.