Peg and Cat enter a race where they need to get around the track in 20 laps. They build a car out of junk, but it breaks down a couple of times: first before they even get to the race track, and the second time is on the 18th or so lap, right before completing the race. Both times, they figure out a solution - first, to use a round object to replace their broken wheel, and second to use a solid object to hold the race car together after the original piece breaks. They eventually win the race, but only because the other competitors get distracted along the way.
I don't know what it is about some of these children's books, but this book makes you feel so down by the end of it. The only reason why Peg and Cat win is because the pig in the triangle car - who was in first place and about to beat them right up until the very end - gets distracted by the triangle flags next to the race track and stops his car right before the finish line to check them out. The pig loves triangles so much that he is willing to abandon the race in order to be around the triangles.
The other racers leave the race earlier on for similarly silly reasons. The entire time, Peg and Cat are losing. They only celebrate on the last page or so because they narrowly come out on top because all the other racers have left for their own silly reasons. The book has a somewhat uplifting message here - "never give up" - but the book doesn't show the protagonists trying particularly hard in the process of not giving up - they just, literally, don't give up and they end up winning through luck.
The bigger point here is that Peg and Cat were not going to win this race if it weren't for luck. Is that really a message you want to send to anyone, particularly a young person? It is certainly not a thesis that celebrates intelligence, creativity, or perseverance. It celebrates pure luck, and that's about it.
I came across this book when I was on a children's literature cite that is aimed at increasing young girls' (in particular) confidence in mathematics and science. I found a few good books on that site, but this was not one of them. To be fair, I appreciated the significance of the number 20 throughout the book. After 1-10 and especially the teens (which are useful in themselves for learning addition), the next significant number that children learn is 20. So it was great to see that. It was also great to see a little bit of "greater than/less than", and geometry, with the circles and triangles playing an important role at various points of the story.
But this book does nothing to increase girls' confidence in math and science. The overarching point is not about intelligence or hard work of Peg (or Cat),and this is not a book that will help kids feel good about their abilities. It is a book that will help them feel insufficient and hope that luck might eventually save them. That's very sad and depressing and the authors should feel ashamed of themselves for driving such a message to young people.
I only give it 2 stars because of the minimal math concepts introduced; otherwise this thing is disgraceful.