Fractions has a new game: Recurring Decimals. Your child sees a decimal such as 0.1666… written out and taps the digits that repeat. The mark appears as they tap, the way it is taught where you live: a bar over the digits, dots over the first and last digits, brackets, an arc, or the digits written out and followed by three dots. Then they turn it into a fraction one step at a time: multiply it by 10, 100 or 1000 until the repeating parts line up, subtract one line from the other, and write what is left as a fraction. A session starts with a single repeating digit, moves on to two or three, then to digits that come before the repeating part, and ends with a whole number in front, as in 2.1666…. Mistakes are explained with short animations. The app writes a decimal point or a decimal comma, whichever your phone's region uses. The way of marking the repeating part follows your region too, and can be changed in the parent area. Plus bug fixes and improvements.

Two new games bring decimals to long multiplication and long division. Decimal Multiplication, on the Multiplication menu, multiplies the digits as if they were whole numbers, then your child taps the gap in the product where the decimal point goes. A wrong tap is explained, not just marked: the digits after the point in both numbers are counted, the same number of digits is counted from the right of the product, and the point moves there. When a short product needs extra zeros, as in 0.3 × 0.2 = 0.06, they appear in orange. Decimal Division, on the Division menu, works in all four long division layouts. A session includes three kinds of question: a decimal divided by a whole number, a whole-number division that carries on past the point by bringing down zeros, and a decimal divided by a decimal, where the points are moved first. The keypad has a decimal point key, and the app never prompts for it: your child presses it on their own when they bring down the first digit after the point. A point that is missed, pressed too early or moved to the wrong place is explained with a short animation. The app writes a decimal point or a decimal comma, whichever your phone's region uses. In the long division layout with the answer on top, each digit of the answer now sits above the last digit of the dividend used to work it out. Rounds are now sized by time. In the parent area, one Exercise Length slider, from 30 seconds to 5 minutes, replaces the question count for every game, and each game works out how many questions fit at your child's own pace. Statistics is now in three levels. The main page shows practice time and daily activity and leads to Numbers and Shapes & Space, which list their operations. Each operation has its own page, with charts of improvement over time and the questions your child got wrong most often in the past week. For addition, subtraction, multiplication and division, it also lists the questions that took longest to answer. The PDF report follows the same layout. Plus bug fixes and improvements.

Factoring has two new games: Greatest Common Factor and Least Common Multiple. Your child divides both numbers by primes, line by line, down a single column. For the greatest common factor, the prime has to go into both numbers. For the least common multiple, it only has to go into one of them, and the other number is carried down unchanged. Your child then multiplies the divisors to get the answer. When the column is finished, each divisor moves down into the multiplication, so your child can see exactly which numbers are being multiplied. If a greatest common factor column stops after a single prime, there is nothing to multiply, and the game explains why that prime is the answer. A new Step-by-step button helps with that final multiplication. It multiplies two numbers at a time and carries each result into the next step. Two single-digit numbers are worked on one line, and anything bigger as a long multiplication, digit by digit. Your child can still type the answer in directly. In Long Multiplication, the carried digit is now bigger and easier to see. If your child forgets to add it, the first time they get a reminder and can try again, and it does not count as a mistake. Forgetting it again on the same digit counts as a mistake. Plus bug fixes and improvements.

Math Basics now teaches factoring. Open Numbers and Factoring sits alongside Addition, Subtraction, Multiplication, Division and Fractions, with five games that build on one another. Divisibility Rules comes first. Your child chooses one divisor, anywhere from 2 to 13, then answers yes or no about number after number, so a rule that has not stuck gets a whole session instead of one question in nine. Prime Factors puts a number and every prime on screen together and asks which of them go in. Build the Number works backwards, multiplying prime tiles up to hit a target exactly. Factor Tree splits a number into two factors, over and over, until every branch ends in a prime. The tree grows as your child works, and the first number stays where it was written. For the child meeting a tree for the first time, a question-mark button on the how-to-play strip opens a worked example that builds itself: 12 splits into 3 and 4, the 3 fills in because it is prime, and the 4 splits into 2 and 2. Factor Ladder is the same work set out as a column, dividing down to 1. A wrong answer explains itself. For a divisibility question the rule is stated first, in one sentence, then run on that very number, digit by digit, and only then does the card say what the result means. Where a divisor has more than one rule in circulation, as 4, 7, 8, 11 and 13 all do, a switch at the top swaps the whole explanation, so your child is never shown one method blurred into another. Why a rule works at all is one tap away, for the child who wants it. In Build the Number and Factor Tree, the card replays the multiplication your child actually built, lands it next to the target and names the factor that is still missing. In the tree, a first factor that does not go in is answered with its divisibility rule instead, so the two halves of a split are corrected as the different mistakes they are. Chika's trick shows its working. Ask whether a number divides by 7 and the card cuts the last digit away, multiplies it by 5, and slides the answer underneath what is left before adding the two together. The same runs for 13, where the last digit is multiplied by 4 instead. If the result is still too big to judge, it goes round again, with each finished round folded onto a single line above. And in Prime Factors, where a single answer decides six questions at once, the card now covers all of them: every prime your child missed, and every prime they tapped by mistake, gets a row of its own. Tapping a row opens the full explanation for that prime and closes the others. Every number these games ask about is assembled so that it can be factored with the rules your child already knows. Your child never has to guess. Factoring counts everywhere the rest of the app does. Sessions appear in the parent statistics under their own name, a daily goal of ten factoring questions can be set just like one for addition, and a new Prime Hunter award arrives at fifty questions answered. We also fixed two crashes at launch and one that could happen while a sound was playing, plus other bug fixes and improvements.

Math Basics now teaches geometry. The home screen opens on two areas, Numbers and Shapes & Space. Everything you already use sits one tap inside Numbers, and above the two area cards there is a row that takes each child straight back to the practice they played last. Shapes & Space is the new one, and it holds four topics: 2D Shapes, 3D Shapes, Sides & Corners and Angles. There are eight new games. Name the Shape and Name the Solid draw a figure and ask what it is called, from triangles, pentagons and hexagons to cubes, pyramids, cones and cylinders. Regular & Irregular asks whether a polygon has all its sides the same length and all its angles the same. Count the Sides, Count the Corners and Faces, Edges & Corners ask your child to count the parts of a flat shape or a solid. Angle Types asks whether an angle is acute, right or obtuse, and Angles in Shapes asks the same about an angle marked inside a figure. A wrong answer is explained, not just marked. When a count goes wrong, the parts light up one at a time, each with its own number, and the running total stays beside the shape. For a solid, the figure comes apart on screen, so your child can see the faces hidden round the back. When a shape is given the wrong name, the shape your child picked is drawn next to the real one, and the two are counted, folded or turned until the difference between them is plain to see. If your child picks the wrong kind, the angle is compared with a right angle, the one every child already knows. Geometry counts everywhere the rest of the app does. Sessions appear in the parent statistics under their own name, and a daily goal of ten 2D Shapes questions can be set just like one for addition. Every exercise in the app also has a new icon, all drawn in one style, so the practice you want is easier to find in the menu. Plus bug fixes and improvements.

Math Basics now teaches equivalent fractions. Open Fractions, choose Equivalent, and your child fills in the missing number that makes two fractions equal, such as 3/4 = ?/12. Questions run both ways, scaling a fraction up or down, so your child learns to find the factor in either direction instead of drilling one direction by heart. A diagram under the equation shows both fractions coloured in, side by side. They cover the same amount; one is simply cut into more parts. That is the whole idea of an equivalent fraction, in one picture. After five right in a row the diagram steps aside, and it comes straight back the moment an answer goes wrong. In Equivalent Fractions, every question has a hint behind the lightbulb in the corner. It points out the numbers that give the factor and leaves the arithmetic to your child. If two answers go wrong in a row, the hint arrives on its own. Sessions count towards the Fractions statistics and the daily fraction goal your child is already building. Plus bug fixes and improvements.

Math Basics now teaches dividing fractions. Open Fractions, choose Division, and your child solves each question in two steps, multiplying crosswise: first the numerator of the first fraction by the denominator of the second, then the denominator of the first by the numerator of the second. A box highlights the two numbers to multiply and the space their answer goes in, so your child can see exactly what to work out at each step. Each step is also an ordinary times table question, so it counts towards the multiplication statistics your child is already building. The fraction question as a whole is scored on its own, so you can see whether your child has the method even when a single times table answer goes wrong. Parents can also set a daily goal just for dividing fractions. Plus bug fixes and improvements.

Math Basics now teaches multiplying fractions. Open Fractions, choose Multiplication, and your child solves each question in two steps: first the numerators, then the denominators. A box highlights the two numbers to multiply and the space their answer goes in, so your child can see exactly what to work out at each step. Each step is also an ordinary times table question, so it counts towards the multiplication statistics your child is already building. The fraction question as a whole is scored on its own, so you can see whether your child has the method even when a single times table answer goes wrong. Parents can also set a daily goal just for multiplying fractions. Plus bug fixes and improvements.

Math Basics now speaks Arabic, our 22nd language and the first that reads right to left. The whole app mirrors to match: the menus, the statistics, the parent dashboard and every practice screen. Numbers stay left to right, exactly as they are written in Arabic too. Schools in Arabic-speaking countries teach sums both ways, so a parent can choose. In Settings, pick whether equations read right to left or left to right, and every screen follows. Plus bug fixes and improvements.

Fractions can now be subtracted! The new Subtract mode takes away fractions that share a denominator, and the pizza picture shows exactly what is happening: the slices being taken away are shaded on the first pizza, so what stays behind is the answer. Children type just the numerator, since the shared denominator is already filled in, and every answer comes out as a positive fraction, never negative and never zero. Plus bug fixes and improvements.

Fractions addition has arrived! The new Addition mode pairs fractions that share a denominator, shows each one as pizza slices, and has children type the answer with the shared denominator already filled in. And when the free trial ends, practice carries on: everyone gets 15 minutes of free practice every day. Plus bug fixes and improvements.

New long division mode for the "staartdeling" notation familiar in the Netherlands and Flanders: divisor / dividend \ quotient, worked out step by step. Plus bug fixes and improvements.

New long division mode for the colon notation familiar in Germany, Austria and Switzerland: dividend : divisor = quotient, worked out step by step. Plus bug fixes and improvements.

Fractions have arrived! Two new visual modes: match fractions to slices of a whole, and compare fractions side by side to see which is bigger. A simple, hands-on way to make fractions click. Plus bug fixes and improvements.