This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Analyze Question 1, Row 1. The pattern is a repeating sequence of a square and a star. The sequence shown is: Square, Star, Square, Star, Square, Star, Square, Star, Square, Star, Square, Star. The repeating unit is (Square, Star). The last visible shape is a Star. Therefore, the next shape in the sequence should be a Square. The options for the next pattern (a block of four shapes) are: 1. Square, Star, Square, Star 2. Star, Square, Star, Square 3. Square, Square, Star, Star The correct next pattern starts with a Square, matching the repeating unit. The pattern that comes next is Square, Star, Square, Star. Step 2: Analyze Question 1, Row 2. The pattern consists of blocks of four shapes. Block 1: Square, Star, Circle, Square Block 2: Square, Star, Circle, Square Block 3: Circle, Square, Star, Circle The pattern appears to be (Block A, Block A, Block B). Following this logic, the next block should be Block A. Block A is Square, Star, Circle, Square. The options for the next pattern are: 1. Square, Star, Circle, Square 2. Circle, Square, Star, Circle 3. Star, Circle, Square, Star The pattern that comes next is Square, Star, Circle, Square. Step 3: Analyze Question 1, Row 3. The pattern consists of blocks of four shapes. Block 1: Square, Star, Star, Square Block 2: Square, Star, Star, Square Block 3: Star, Star, Square, Star The pattern appears to be (Block A, Block A, Block B). Following this logic, the next block should be Block A. Block A is Square, Star, Star, Square. The options for the next pattern are: 1. Square, Star, Star, Square 2. Star, Star, Square, Star 3. Star, Square, Star, Star The pattern that comes next is Square, Star, Star, Square. Step 4: Analyze Question 1, Row 4. The pattern consists of blocks of four shapes. Let's denote a square with a dot as "Dotted Square", a plain square as "Plain Square", and an oval as "Oval". Block 1: Dotted Square, Plain Square, Oval, Dotted Square Block 2: Dotted Square, Plain Square, Oval, Dotted Square Block 3: Dotted Square, Oval, Plain Square, Dotted Square The pattern appears to be (Block A, Block A, Block B). Following this logic, the next block should be Block A. Block A is Dotted Square, Plain Square, Oval, Dotted Square. The options for the next pattern are: 1. Dotted Square, Plain Square, Oval, Dotted Square 2. Dotted Square, Oval, Plain Square, Dotted Square 3. Plain Square, Dotted Square, Oval, Plain Square The pattern that comes next is Dotted Square, Plain Square, Oval, Dotted Square. Step 5: Analyze Question 2. The pattern is: Triangle, Smiley Face, Diamond, Diamond, Triangle, _____, _____, _____ Identify the repeating unit: (Triangle, Smiley Face, Diamond, Diamond). This unit has 4 shapes. The sequence starts with this unit, then repeats the first shape of the unit (Triangle). Therefore, the next shapes will complete the repeating unit. The next shapes are Smiley Face, Diamond, Diamond.