# Level 1 - Math & Problem Solving

Our **Level 1** Math & Problem Solving Program typically targets students in **Grades 4 through 6.** (Admission into Level 1 is not restricted to the above grade levels, but is based on student ability and readiness).

The major emphasis at this level of program is learning how to **think critically** in understanding the problem at hand. Much attention is given to recognizing different **problem-solving strategies** and applying these to particular problems.

**Level 1** instruction includes, but is not limited to:

###### Math

- Four operations (+,-, x, /,) on whole numbers
- Four operations on decimals
- Four operations on fractions
- Percent
- Order of operations involving whole

numbers, decimals, fractions, and percent

###### Strategy games

###### Memory development

- Brain Power memory technique

###### Logic and Problem Solving Strategies

- Reading comprehension
- Modeling problems and simplifying them
- Forward solving strategies
- Backwards solving strategies
- Venn diagrams
- Logical trees

- Logical charts
- Organized / Systematic list
- Problems on lowest common multiple
- Problem decomposition
- Encryption and decoding

**Prerequisite for Level 1:** knowledge of the multiplication table until 10 and good reading skills.

##### Sample problems

Maria and Richard are working the same shift today. Maria works every 4th day and Richard works every 7th day. How many times will they work the same shift in the next 3 months? (Assume every month has 30 days)

**Solve: **3.45 X [32.12 – 1.4 X (9.12 + 7.6) + 4.6] – 0.75 ÷ 2.5 + 9.34 =

Tom scored twice more than Garry at the shooting range. Judy scored 5 points more than than Tom’s score. Ken’s score was 3 times Garry’s score. How many points did each of them score if in total they scored 93 points?

It takes 84 workers to build 7 houses in 7 months. How many workers are needed to build 5 houses in 1 year?

Sixty-six students, half of whom are in grade 5, were asked if they are good at problem solving. Forty-five of the students, including 7/11 of the grade six, said they have great “brain power” for problem solving. How many of the grade five students say they are good at problem solving?

72% of { 2 ^{2}/_{3} of 54 + ^{2}/_{5} × [6 ^{3}/_{7} – 2 ^{1}/_{3} ÷ ( 12 ^{1}/_{2} – 7 ^{3}/_{5} )] + ^{13}/_{21} } =

Johnny likes math and he is quite good at it. He decided to make extra money by working in a coffee shop a few days a week. He noticed that a cake and a muffin together cost as much as 6 cups of coffee. He also found out that cake alone costs as much as one muffin and two cups of coffee. Now Johnny is trying to figure out how many muffins will cost as much as one cake and two cups of coffee.

Please help Johnny figure out how many muffins cost as much as one cake and two cups of coffee.