MATH40006 Practice Paper 1 Solutions

English review edition prepared on 4 October 2026 from a preserved source copy. It is a later presentation, not the historical study interface. Source checks and difficulty judgements describe the original material author's own process; they do not indicate Imperial College London endorsement.

Source SHA-256: ec8fa70a37992f68aa4bb2d7186fd0094e58b30bb3c2f068463a7811597fdb20
Source date: 2026-08-06

Source page 1

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006_Practice_Paper_1_Worked_Solutions Page 1

English passage 2 (62% down the source page) - Accessible course-material basis: the official 2025-26 marking scheme.

English passage 3 (64% down the source page) - Historical competency gap addressed: retain the sole paper reinforcing the current structure, practising the complete sequence of grids, colour maps, contours, vector fields and wireframes.

English passage 4 (66% down the source page) - Equivalent 2026 difficulty unit: 2026 Q1 (20-mark visualisation unit).

English passage 5 (69% down the source page) - Reason for equivalence: 8 marking steps, two grid resolutions and 5 types of figures; computational workload, abstraction and the estimated 18-20 minutes align directly.

Source page 2

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006_Practice_Paper_1_Worked_Solutions Page 2

Source page 3

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006_Practice_Paper_1_Worked_Solutions Page 3

Source page 4

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006_Practice_Paper_1_Worked_Solutions Page 4

English passage 2 (71% down the source page) - Accessible course-material basis: the official 2025-26 marking scheme.

English passage 3 (74% down the source page) - Historical competency gap addressed: retain the complete implementation of the current Pritchard sieve and its boundary tests.

English passage 4 (76% down the source page) - Equivalent 2026 difficulty unit: 2026 Q2 (20-mark long-algorithm unit).

English passage 5 (78% down the source page) - Reason for equivalence: initialisation, single-step updates, loop wrapping and five categories of tests comprise 5 stages; code length and the estimated 25 minutes align directly.

Source page 5

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

English passage 1 (95% down the source page) MATH40006_Practice_Paper_1_Worked_Solutions Page 5

English passage 2 (54% down the source page) - Accessible course-material basis: the official 2025-26 marking scheme.

English passage 3 (56% down the source page) - Historical competency gap addressed: retain practice of the current short-sequence and exact rational-number structures.

English passage 4 (59% down the source page) - Equivalent 2026 difficulty unit: 2026 Q3 (10-mark short integrated unit).

English passage 5 (61% down the source page) - Reason for equivalence: four steps involving adjacent entries, interleaving, iteration and Rational; approximately 10-12 minutes, with the same marks and workload as the main examination.