It’s time for our weekly roundup of the best new iPhone and iPad apps and games to have emerged on Apple’s App Store.

As ever, prices are correct at the time of writing, but may have changed by the time you read this. (Free + IAP) means in-app purchases are used within the app.

Want more apps? Browse previous Best iPhone and iPad apps roundups on The Guardian. And if you’re looking for Android apps instead, browse the archives of the weekly Best Android Apps roundups.

APPS

ScratchJr (Free)
The coding-for-kids category is getting crowded on the app stores, but ScratchJr comes from a fine source: MIT, which was responsible for the Scratch visual programming language that inspired it. Aimed at 5-7 year-olds, this app gets children to create stories by slotting together blocks of code. Huge potential.
iPad

Radio Times Magazine (Free + IAP)
What need for a TV listings magazines in the age of electronic programme guides and smart TVs? Well, the Radio Times is still going strong here in the UK, and now it has a new Newsstand version for iOS: essentially a PDF version of the printed mag, but still useful for any couch potato.
iPhone / iPad

PewDiePie (Free)
PewDiePie might just be the biggest TV star in the world, with more than 3bn views of his YouTube channel in the last 12 months alone. Now he has an official app, bringing fans his regular videos, including an option to customise their feed with their favourites. With a young, highly-mobile audience, this’ll be popular.
iPhone

Telegraph Clearing (Free)
Talking of young, highly-mobile people… This is the Telegraph’s app for 2014’s clearing system for university spaces in the UK: A-Level students who are still looking for a place post-results will be able to use this to browse available courses, with vacancies updated hourly.
iPhone

Blue Note 75 (Free)
Happy 75th birthday to legendary jazz label Blue Note Records, which is celebrating with a new iPad app showing off its catalogue. You can browse artist biographies, videos and photos from the archives, and if you’re a subscriber to Spotify, Deezer or Rdio, you can sign in to stream the music.
iPad

Indiegogo (Free)
Every crowdfunding service wants their own app nowadays: first Kickstarter did it, and now rival Indiegogo. You can use this app to browse the campaigns trying to raise money on Indiegogo, or to check in on your own campaign if you’re running one.
iPhone

Cura TV (Free)
Here’s an app to make you hungry: Cura TV is a collection of video channels from “speciality food sellers” touting their wares, which you can then buy: “from wine and beer to Italian and Greek food”. The food does look delicious, and the app uses mobile payment system Stripe to make buying it quick and simple.
iPhone

Axel Scheffler’s Flip Flap Safari (£0.69)
Axel Scheffler may be best known as the illustrator of The Gruffalo, but he has plenty of other projects on his plate. This characterful flip-book-app is the latest: aimed at children, it gets them to create hybrid animals by flipping through tops and bottoms – with each new beast getting its own poem.
iPhone / iPad

Timeful (Free)
Styling itself as an “Intelligent Time Assistant”, this blends your calendar and to-to task list, then learns from your habits to recommend suitable times to schedule in those tasks. It works nicely with Google Calendar, Microsoft Outlook/Exchange and Yahoo! Calendar as well as your iPhone’s default diary, too.
iPhone

CBeebies Storytime (Free)
This is the BBC’s second official app for its CBeebies pre-school TV channel, and while the first (Playtime) focused on games, this is all about stories. Six stories, in fact, each based on a different show, with voice narration and light interactivity geared towards engaging children in reading.
iPhone / iPad

GAMES

Modern Combat 5: Blackout (£4.99)
Gameloft’s Modern Combat series is mobile’s answer to Call of Duty: as much military first-person shooting as you can handle, with squad-based action, and a choice of solo or multiplayer online modes. It looks very good, with controls that work on the touchscreen – still not a given for this genre – and plenty of depth.
iPhone / iPad

Traps n’ Gemstones (£1.99)
This may be the slow-burning sleeper hit of the week, judging by early reactions from people playing it. Made by Donut Games, it’s a platform-adventure that has you exploring pyramids in Egypt, recovering relics and fending off enemies. The kind of game where you start playing for a few minutes, and look up half an hour later.
iPhone / iPad

Blood Bowl (£2.99)
I went through the Blood Bowl craze as a teenager, just after Dungeons & Dragons and just before Championship Manager, as I recall. Playing this all-new mobile game brought back plenty of memories. If you’re new to it, Blood Bowl is a turn-based virtual sport: essentially American football with more elves, dwarves and monsters. Oh, and on-field deaths. The game does a good job of capturing its appeal.
iPad

Crazy Taxi: City Rush (Free + IAP)
I’ve been a fan of Sega’s Crazy Taxi since its excellent Dreamcast version, so was nervous about its transition to a freemium mobile game. It’s a bit strange: part driving game, and part Temple Run-style endless runner, as you swipe to switch lanes. There’s still fun to be had picking up fares and driving as unsafely as possible to pick up tips – with the in-app purchases element bearable.
iPhone / iPad

Kairobotica (£2.99)
If you know Japanese developer Kairosoft, you’ll know what to expect from this space-strategy game: super-addictive resource-juggling gameplay. In this case, a mixture of town-building and alien-battling. If you’re new to the company’s charms, it’s a good place to start: but charge your battery first, as it’s very moreish.
iPhone / iPad

80 Days (£2.99)
One for anyone who thinks any crossover between books and games will inevitably dumb down the former. This is a brilliant adventure based on the adventures of Phileas Fogg, with a whole world to explore, and a script that will hold your attention throughout. Interactive storytelling at its best.
iPhone / iPad

Dance Party for Apple TV (Free + IAP)
Who said you need a Kinect or a Wiimote to play dancing games in the living room? This is a really interesting idea: a music-rhythm game designed to be played from your iPhone on a nearby television – you’ll need an Apple TV set-top box, mind – as you cut some rug to five songs. It’ll also track the calories you’re burning.
iPhone

Revolution 60 (Free + IAP)
Here’s another adventure game to really get your teeth into: spiffing graphics, a proper plot, and (as its developer puts it) “a cast of complex, strong female characters” – sadly a breath of fresh air still in the modern games industry. Walks the line between animation and game well.
iPhone / iPad

QuizTix: Video Games (Free + IAP)
There’s been a boom in massively-multiplayer mobile trivia games in recent times: QuizUp being the most prominent. The QuizTix games have been focusing on individual themes: football, films, pop music and now games. You answer questions on gaming history, competing against friends.
iPhone / iPad

The Great Prank War (£1.99)
Finally, a game from Cartoon Network for its Regular Show series: a tower defence game starring Mordecai, Rigby, Muscle Man and other characters from the show. The twist: you can go off sacking enemy towers, rather than just building your own to decimate their armies. Practical jokes are the theme, too: eggs, glue and whoopie cushions all make appearances.
iPhone / iPad

Those are our picks, but what have you been enjoying on iOS this week? Post your recommendations (or feedback on these) in the comments section.

• 40 best iPhone and iPad games this year (so far)