Daily Practice · Higher
February 1994 - Higher 5-a-day
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The batch download puts all 5 tiers' February 1994 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 199450 fish are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 2nd February 1994Write the recurring decimal 0.666... as a fraction in its simplest form.
- 3rd February 1994A region is defined by y < 5x + 6. Should the boundary line be solid or dashed, and why?
- 4th February 1994y is directly proportional to x. When x = 8, y = 32. Work out y when x = 7.
- 5th February 1994The point (6, -4) is enlarged by scale factor -3 about the centre (-3, -4). Write down the coordinates of the image.
- 6th February 19942 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th February 1994A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th February 1994Work out 27^(2/3).
- 9th February 1994Factorise x^2 - 12x + 32.
- 10th February 1994A town's population is 32500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 11th February 1994Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 232 cm^3. Work out the volume of the smaller.
- 12th February 199419 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th February 1994A box plot has a minimum of 20 and a maximum of 39. Work out the range.
- 14th February 1994Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 15th February 1994Work out the equation of the line parallel to y = 2x + 5 that passes through (1, 12).
- 16th February 1994A block has volume 40 cm^3 and density 3 g/cm^3. Work out its mass.
- 17th February 1994A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 18th February 19941 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th February 1994A box plot has minimum 1, lower quartile 11, median 14, upper quartile 17 and maximum 26. Work out the interquartile range.
- 20th February 1994A meal deal has 4 mains, 3 sides and 5 drinks. How many different meals are possible?
- 21st February 1994A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
- 22nd February 1994x : y = 5 : 8. Write y in terms of x.
- 23rd February 1994ABCD is a cyclic quadrilateral. Angle ABC is 88°. Work out angle ADC.
- 24th February 199426 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th February 1994A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 26th February 1994A mass is 50 kg, correct to the nearest whole number. Write down the upper bound.
- 27th February 1994For the curve y = 50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 28th February 1994A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.