Post-UTME study materials
Post-UTME study resources

Post-UTME case studies

Post-UTME · Put your knowledge to work in context.

Post-UTME is the screening stage that Nigerian tertiary institutions run after candidates have sat the Unified Tertiary Matriculation Examination (UTME). It is not a single national paper. The Post-UTME case studies are 5 cases and about 4,505 words.

1

Sixty Metres of Wire: Whose Plan Gives the Biggest Vegetable Plot?

Chidi has 60 m of fencing wire and wants to enclose a rectangular vegetable plot against the straight wall of his compound, using the wall as one whole side so that only three sides need wire. His brother, who is preparing for the same examination, claims that the largest possible area comes from a plot whose side parallel to the wall is 30 m and whose two equal sides are 15 m each.

821 words, about 4 min
2

Verifying a '98% Pure' Sodium Hydroxide Label: Adulteration or a Bottle Left Open?

Animo's chemistry group is given a bottle labelled 'sodium hydroxide pellets, 98% pure' and told to verify the label. They weigh 2.50 g of the pellets, dissolve them in distilled water and make the solution up to 250 cm³ in a volumetric flask.

837 words, about 4 min
3

Where Do the Missing Watts Go? A Lamp, a Car Battery and a 15 m Extension Lead

At a school science fair Emeka runs a lamp rated 12 V, 24 W directly from a 12 V car battery and it glows at normal brightness. To move the lamp to a display table 15 m away he uses a two-core extension lead of 1.0 mm² copper cable (resistivity of copper 1.7 × 10⁻⁸ Ω m; with two conductors the lead has about 0.034 Ω of resistance per metre of its length).

975 words, about 5 min
4

A Fare Rise That Raises Revenue: Should the Minibus Owner Push to ₦300?

A minibus operator on the campus-to-town route raises the fare from ₦200 to ₦250 per passenger. Before the increase his fleet carried about 4,000 passengers a day and took ₦800,000.

900 words, about 5 min
5

Zeal Stores: Which of the Seven Items Belong in the Cash Book?

Kelechi prepares the bank reconciliation of Zeal Stores at 31 March. The cash book shows a debit balance of ₦48,500; the bank statement for the same date shows a credit balance of ₦40,700.

972 words, about 5 min