Daily Practice · Higher
November 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1996 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1996Factorise x^2 - 16.
- 2nd November 1996y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 9.
- 3rd November 1996A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 4th November 199629 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 199630 newts are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
- 6th November 1996A meal deal has 7 mains, 6 sides and 5 drinks. How many different meals are possible?
- 7th November 1996A region is defined by y <= -3x + 3. Should the boundary line be solid or dashed, and why?
- 8th November 1996y is directly proportional to x. When x = 4, y = 28. Work out y when x = 8.
- 9th November 1996The point (6, -6) is enlarged by scale factor -2 about the centre (-1, 0). Write down the coordinates of the image.
- 10th November 19962 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 1996A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th November 1996A mass is 32 kg, correct to the nearest whole number. Write down the upper bound.
- 13th November 1996Factorise x^2 - 10x + 24.
- 14th November 1996A town's population is 7000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 15th November 1996Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 16th November 199627 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 1996A box plot has a minimum of 5 and a maximum of 28. Work out the range.
- 18th November 1996Write 6^-1 as a fraction.
- 19th November 1996Work out the equation of the line parallel to y = 3x - 5 that passes through (2, -1).
- 20th November 1996A block has volume 135 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 21st November 1996A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 22nd November 19965 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 1996A box plot has minimum 4, lower quartile 8, median 11, upper quartile 18 and maximum 27. Work out the interquartile range.
- 24th November 1996Work out (5 x 10^8) x (9 x 10^5). Give your answer in standard form.
- 25th November 1996A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 26th November 1996x : y = 4 : 7. Write y in terms of x.
- 27th November 1996ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 28th November 199614 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 1996A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 30th November 1996Write the recurring decimal 0.5050... as a fraction in its simplest form.