Grade 10 Questions asked by Filo students

Explain why the leaf in the light for four days contained both glucose and starch.

Olivia and Jessica have in total half as many sweets as Fran and Gary have in total. Fran and Gary share their sweets in the ratio 2:3 Olivia and Jessica share their sweets in the ratio 9:1 Fran got w sweets. Gary got x sweets. Olivia got y sweets. Jessica got z sweets. Find, in its simplest form, w: x : y :z

what is Thales theorem Class 10

Solve for x: 4x 2 – 4ax + (a – b ) = 0

If 𝑡𝑎𝑛𝐴 = 1, then 2𝑠𝑖𝑛𝐴𝑐𝑜𝑠𝐴 is ……

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13. The length, y, of a solid is inversely proportional to the square of its height, x.

1. Write down a general equation for x and y.
2. Show that when x = 5 and y = 4.8 the equation becomes x2y = 120.
3. Find y when x = 2.
4. Find x when y = 10.
5. Find x when y = x.
6. Describe exactly what happens to y when x is doubled.
7. Describe exactly what happens to * when y is decreased by 36%.
8. Make x the subject of the formula x2y = 120.

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1. If the sum of the zeroes of a quadratic polynomial is 0, then the graph of the polynomial is symmetric with respect to Y-axis. [1] True False
2. The graph of the quadratic polynomial p(x) = x + 2 intersects x axis at no points. . [1] True False

Adam and Brianna are friends who are both in town and need to catch a taxi home. Both Adam and Brianna live in different homes so the

Two friends, Adam and Brianna, are both in town and need to catch a taxi home. They do not live at the same house. This means they will either have to catch separate taxis or share a taxi that will drop off one of them first and then drive to the other friend’s house. 

In this investigation, Adam and Brianna would like to explore whether it is cheaper to take a separate taxi each, or share a taxi.

Adam and Brianna start thinking about the factors that they may wish to consider which will make them decide one way or the other.

The answer to this depends on the distance and direction that each of them lives from town.

In this investigation it will be assumed that there is no “flagfall” taxi fee, and that the cost of the fare is directly proportional to the distance travelled. Therefore, to minimise the total cost of the fare, they need to minimise the total cost travelled.

1. For what values of  should A and B always share a taxi, regardless of the distances involved?
2. For what values of  should A and B never share a taxi, regardless of the distances involved?