He stepped onto the bridge of squares. It held.
Leo hated the glow. Not the warm glow of a bedside lamp or the distant shimmer of stars, but the cold, electric-blue hum that pulsed from his laptop screen every evening at 6 p.m. It was the glow of .
Leo counted on his fingers. Ratio 3:2 means for every 3 primes, 2 squares. 15 primes means 5 groups of 3. So 5 groups of 2 squares = 10 squares. sparxmatgs
The void cracked. Leo tumbled backward through the portal and landed on his bedroom carpet. The laptop screen showed a green checkmark and a new score: . A message blinked: “Well done, Leo. You have completed SparxMaths for the week. See you on Monday.” But below it, in tiny, almost invisible text: “P.S. The trains would have met at 7:51 PM. But you knew that.” Leo closed the laptop. The blue glow faded. For the first time, he smiled at the dark screen.
A train leaves Paris at 2:00 PM. Another leaves Berlin at 3:30 PM. That’s 1.5 hours later. In that time, the Paris train travels 90 km/h × 1.5 h = 135 km. So the remaining distance when the Berlin train starts is 1050 – 135 = 915 km. Their combined speed is 90 + 120 = 210 km/h. Time to meet after 3:30 PM = 915 ÷ 210 = 4.357 hours. That’s 4 hours and 21.4 minutes. Add to 3:30 PM… He stepped onto the bridge of squares
Every child in Year 9 knew the ritual. After school, after football, after the last chocolate biscuit, came the Sparx. Two hours of algebraic fractals, probability trees, and ratio problems that seemed designed by a sadistic crossword enthusiast. If you failed to reach the weekly target—a score of 85% or higher—your name appeared on the “Sparx Board of Shame” in the main corridor, glowing in that same accusing blue.
Frustration boiled over. He slammed the laptop lid shut. The room went dark. But not completely. The blue glow bled through the seams of the laptop, seeping into the corners of his room like a liquid ghost. Then, the screen flickered on by itself. Not the warm glow of a bedside lamp
“Last question. The one you always skip. The one about the trains.”