Daily Practice · Higher
December 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' December 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1995Factorise x^2 - 49.
- 2nd December 1995y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 3.
- 3rd December 1995A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 4th December 199521 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th December 199520 beetles are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 6th December 1995Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 7th December 1995A region is defined by y < -4x + 4. Should the boundary line be solid or dashed, and why?
- 8th December 1995y is directly proportional to x. When x = 7, y = 14. Work out y when x = 11.
- 9th December 1995The point (-5, -1) is enlarged by scale factor -3 about the centre (1, 0). Write down the coordinates of the image.
- 10th December 19954 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th December 1995A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th December 1995A meal deal has 9 mains, 5 sides and 6 drinks. How many different meals are possible?
- 13th December 1995Factorise x^2 + 4x - 21.
- 14th December 1995A town's population is 27000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 15th December 1995Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 16 cm^3. Work out the volume of the smaller.
- 16th December 199521 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th December 1995A box plot has a minimum of 9 and a maximum of 45. Work out the range.
- 18th December 1995A mass is 19 kg, correct to 1 decimal place. Write down the upper bound.
- 19th December 1995Work out the equation of the line parallel to y = -3x + 9 that passes through (2, 2).
- 20th December 1995A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 21st December 1995A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 22nd December 19951 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd December 1995A box plot has minimum 7, lower quartile 17, median 20, upper quartile 23 and maximum 26. Work out the interquartile range.
- 24th December 1995Write 6^-1 as a fraction.
- 25th December 1995A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 26th December 1995x : y = 2 : 9. Write y in terms of x.
- 27th December 1995ABCD is a cyclic quadrilateral. Angle ABC is 105°. Work out angle ADC.
- 28th December 199510 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th December 1995A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 30th December 1995Work out (7 x 10^6) x (3 x 10^6). Give your answer in standard form.
- 31st December 1995For the curve y = 10/x, work out y when x = -5, and write down the equation of its vertical asymptote.