Daily Practice · Higher
May 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1996The point (-3, -3) is enlarged by scale factor -2 about the centre (1, -4). Write down the coordinates of the image.
- 2nd May 19963 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 1996A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 4th May 1996Write 7^-3 as a fraction.
- 5th May 1996Factorise x^2 + 6x + 5.
- 6th May 1996A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 7th May 1996Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 8th May 199623 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 May 1996A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 10th May 1996Work out (7 x 10^4) x (3 x 10^-4). Give your answer in standard form.
- 11th May 1996Work out the equation of the line parallel to y = -5x + 9 that passes through (5, -18).
- 12th May 1996y is inversely proportional to x. When x = 3, y = 36. Work out y when x = 12.
- 13th May 1996A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 14th May 19961 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 1996Four classes in order have frequencies 7, 7, 4, 7. Write down the cumulative frequency at the end of the third class.
- 16th May 1996Write the recurring decimal 0.9898... as a fraction in its simplest form.
- 17th May 1996A line has equation y = 5x + 8. Work out the gradient of any line perpendicular to it.
- 18th May 1996y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 8.
- 19th May 1996ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 20th May 199611 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 199650 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 22nd May 1996A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 23rd May 1996For the curve y = -10/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 24th May 1996y is directly proportional to x. When x = 9, y = 99. Work out y when x = 13.
- 25th May 1996A, B and C are points on a circle with centre O. Angle AOC is 50°. Work out angle ABC, where B is on the major arc.
- 26th May 19964 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 1996A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th May 1996A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th May 1996Expand and simplify (x + 3)(x + 3)(x + 5).
- 30th May 1996A town's population is 26500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 31st May 1996A cone has base radius 8 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.