Daily Practice · Higher
July 1989 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1989The point (-4, 4) is enlarged by scale factor -1 about the centre (0, 1). Write down the coordinates of the image.
- 2nd July 19893 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd July 1989A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th July 1989Write the recurring decimal 0.8181... as a fraction in its simplest form.
- 5th July 1989Factorise x^2 + 5x - 14.
- 6th July 1989A town's population is 17000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 7th July 1989Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 56 cm^3. Work out the volume of the smaller.
- 8th July 198924 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 July 1989A box plot has a minimum of 6 and a maximum of 55. Work out the range.
- 10th July 1989A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 11th July 1989Work out the equation of the line parallel to y = -2x + 2 that passes through (3, 5).
- 12th July 1989A block has volume 45 cm^3 and density 3 g/cm^3. Work out its mass.
- 13th July 1989A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 14th July 19892 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th July 1989A box plot has minimum 14, lower quartile 22, median 24, upper quartile 29 and maximum 35. Work out the interquartile range.
- 16th July 1989A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th July 1989A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 18th July 1989x : y = 2 : 5. Write y in terms of x.
- 19th July 1989ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 20th July 198921 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st July 1989A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 22nd July 1989Work out (54 x 10^11) / (9 x 10^5). Give your answer in standard form.
- 23rd July 1989For the curve y = 2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 24th July 1989A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 25th July 1989A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 26th July 19896 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th July 1989A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 28th July 1989Write the recurring decimal 0.555... as a fraction in its simplest form.
- 29th July 1989Expand and simplify (x + 3)(x + 1)(x - 4).
- 30th July 1989y is inversely proportional to x. When x = 7, y = 36. Work out y when x = 6.
- 31st July 1989A cone has base radius 3 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.