Overview

This set of 20 advanced verbal reasoning questions is based on collage problems, tailored specifically for students preparing for the 11+ exam. Collage problems test students’ ability to visualise how different pieces can be combined to form a complete picture or arrangement. These questions challenge students to think about spatial relationships, transformations, and how individual components fit together.

Example Question:

Example 1

Look at the following pieces of a collage:

Piece 1: A triangle with a right angle
Piece 2: A square
Piece 3: A half-circle

Question: Which of the following options shows how these pieces can be combined to form a complete shape?

Solution:
By visualising how the pieces fit together, you can deduce that the correct arrangement combines the right-angled triangle and square to form a rectangle, with the half-circle positioned at one of the edges.

Questions

Basic Collage Problem Tasks

Question 1

You have three pieces: a rectangle, a triangle, and a circle. Which option shows the correct way to combine all three shapes into one complete figure?

Question 2

Two squares and a semi-circle are given. How can they be arranged to create a complete picture?

Question 3

You are given a diamond shape and two smaller triangles. Which option shows the correct arrangement to form a larger triangle?

Question 4

Combine the following shapes: one large triangle and two smaller squares. Which picture shows the correct completed collage?

Question 5

Given three shapes—a rectangle, a half-circle, and a smaller square—identify the correct arrangement that completes a symmetrical shape.

Intermediate Collage Problem Tasks

Question 6

Arrange a pentagon, a hexagon, and a small triangle to form a composite shape. Which option is correct?

Question 7

You have two overlapping circles and a rectangle. What is the correct way to combine these shapes to form a complete figure?

Question 8

Arrange the following: a large square, two small triangles, and a half-circle. Which picture represents the correct final shape?

Question 9

Three pieces—one parallelogram, one triangle, and one rectangle—are given. Which option shows the correct way to fit them together?

Question 10

Given a trapezoid and two smaller rectangles, identify the correct arrangement to form a composite quadrilateral.

Advanced Collage Problem Tasks

Question 11

Combine four different shapes: a square, a triangle, a pentagon, and a semi-circle. Which option represents the correct arrangement?

Question 12

Three overlapping ovals and a triangle are provided. Identify the correct combination that results in a complete, symmetrical pattern.

Question 13

Given a hexagon, a trapezoid, and two smaller triangles, what is the correct arrangement to form a larger hexagonal shape?

Question 14

Arrange two squares, a triangle, and a rectangle to form the shape of a house. Which option is correct?

Question 15

You have a series of four shapes—a circle, a square, a triangle, and a rectangle. Which option shows the correct way to layer these shapes to form a complete figure?

Expert-Level Collage Problem Tasks

Question 16

Combine six shapes: two triangles, two squares, and two circles. Identify the correct way to fit them into a single, complex pattern.

Question 17

Given a star shape, two rectangles, and one oval, which picture represents the correct way to combine them into a starburst pattern?

Question 18

Arrange the following pieces: a crescent shape, a pentagon, and two triangles. Which option shows the correct completed design?

Question 19

Four shapes—a rhombus, a trapezoid, a rectangle, and a circle—are given. Which option shows the correct way to combine them into a composite polygon?

Question 20

You have three overlapping squares and one triangle. Which option represents the correct final arrangement to form a complex geometric design?

Answers

Basic Collage Problem Tasks

  1. The correct option shows the rectangle, triangle, and circle arranged into a composite, balanced shape.
  2. The two squares are aligned with the semi-circle attached to one edge.
  3. The diamond shape and two triangles combine to form a larger triangle by aligning their edges.
  4. The large triangle is positioned at the base, with the squares fitting into the open spaces.
  5. The correct arrangement places the rectangle and half-circle together, with the square centred.

Intermediate Collage Problem Tasks

  1. The pentagon, hexagon, and triangle fit together to form a unified shape with their edges touching.
  2. The overlapping circles intersect with the rectangle to form a combined symmetrical design.
  3. The large square acts as the base, with the two triangles fitting at the corners and the half-circle positioned above.
  4. The parallelogram, triangle, and rectangle combine by aligning their straight edges.
  5. The trapezoid fits between the two rectangles to form a complete quadrilateral.

Advanced Collage Problem Tasks

  1. The square, triangle, pentagon, and semi-circle are arranged with the triangle at the top, creating a balanced shape.
  2. The overlapping ovals and triangle form a symmetrical, flower-like pattern.
  3. The hexagon, trapezoid, and two triangles combine to form a larger, regular hexagonal shape.
  4. The two squares form the body, the triangle acts as the roof, and the rectangle forms the door of the house.
  5. The circle is placed in the centre, with the other shapes surrounding it in a layered, concentric pattern.

Expert-Level Collage Problem Tasks

  1. The two triangles, squares, and circles fit together in a complex arrangement where all shapes are balanced.
  2. The star shape is positioned at the centre, with the rectangles and oval extending outward to create a starburst effect.
  3. The crescent, pentagon, and two triangles combine to form a composite design with overlapping elements.
  4. The rhombus, trapezoid, rectangle, and circle fit together to create a multi-sided polygon.
  5. The three overlapping squares and triangle form a geometric pattern with intersecting lines and shapes.

These collage problems require students to visualise and manipulate multiple shapes, developing their spatial reasoning and pattern recognition skills. This set of questions is designed to challenge students, preparing them for advanced-level reasoning tasks they may encounter in the 11+ exam.