Daily Practice · Higher
April 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1996 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1996ABCD is a cyclic quadrilateral. Angle ABC is 66°. Work out angle ADC.
- 2nd April 199618 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 1996Four classes in order have frequencies 3, 11, 6, 8. Write down the cumulative frequency at the end of the third class.
- 4th April 1996Write the recurring decimal 0.333... as a fraction in its simplest form.
- 5th April 1996For the curve y = 28/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 6th April 1996y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 3.
- 7th April 1996A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 8th April 19965 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 199645 fish are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 10th April 1996Work out 81^(3/2).
- 11th April 1996Expand and simplify (x - 5)(x + 2)(x - 4).
- 12th April 1996y is directly proportional to x. When x = 2, y = 14. Work out y when x = 5.
- 13th April 1996A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 14th April 199624 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 1996A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th April 1996Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 17th April 1996Make x the subject of y = 9x^2 - 9.
- 18th April 1996A town's population is 22000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 19th April 1996In triangle ABC, angle A is 77°, angle B is 71° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th April 19966 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 1996A box plot has a minimum of 11 and a maximum of 45. Work out the range.
- 22nd April 1996A meal deal has 6 mains, 3 sides and 6 drinks. How many different meals are possible?
- 23rd April 1996Factorise x^2 - 100.
- 24th April 1996A block has volume 30 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 25th April 1996A 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.
- 26th April 199624 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 1996A box plot has minimum 12, lower quartile 19, median 24, upper quartile 32 and maximum 41. Work out the interquartile range.
- 28th April 1996A mass is 36 kg, correct to the nearest whole number. Write down the upper bound.
- 29th April 1996A region is defined by y <= -x + 6. Should the boundary line be solid or dashed, and why?
- 30th April 1996x : y = 3 : 5. Write y in terms of x.